Inequality

Problem 701

QUESTION 4 / 7 - LEVEL 2 $15$
For what value(s) of $p$ is $3 x^{2}-2 p x+3>0$ true for all real $x$ -values? MARK(S)

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Problem 702

You are offered two different sales jobs. The first company offers a straight commission of $3 \%$ of the sales. The second company offers a salary of $\$ 250$ per week plus $2 \%$ of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?
Question Help: Video Submit Question

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Problem 703

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{1}{2} \square \frac{4}{2}$

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Problem 704

Compare using $>$ , <, or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{3}{2} \backsim \frac{3}{6}$

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Problem 705

Compare using $>$ , $<$ , or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{4}{6} \backsim \frac{3}{6}$ \begin{tabular}{|l|l|l|l|l|l|} \hline & & & & & \\ \hline \hline & & & & & \\ \hline \end{tabular}

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Problem 706

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{4}{6} \backsim \vee \frac{4}{4}$

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Problem 707

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each circle below to help you compare the fractions. $\frac{9}{8} \backsim \frac{5}{8}$

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Problem 708

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each circle below to help you compare the fractions. $\frac{2}{2} \backsim \checkmark \frac{2}{6}$

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Problem 709

Plot $\frac{3}{4}$ .
Plot $\frac{3}{8}$ .
Use the number lines above to compare $\frac{3}{4}$ and $\frac{3}{8}$ . $\frac{3}{4}<\frac{3}{8}$

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Problem 710

Plot $\frac{3}{4}$ .
Plot $\frac{3}{8}$ .
Use the number lines above to compare $\frac{3}{4}$ and $\frac{3}{8}$ . $\frac{3}{4}<\frac{3}{8}$

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Problem 711

Compare using $>,<$ , or $=$ . $\frac{3}{4} \bigcirc \frac{4}{4}$

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Problem 712

Compare using $>,<$ , or $=$ $\frac{4}{6} \backsim \frac{4}{8}$

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Problem 713

lowing inequality algebraically. $|x-7|>8$
Attempt 1 out of 2

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Problem 714

Write a compound inequality for the graph shown below. Use $x$ for your variable.

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Problem 715

Write a compound inequality for the graph shown below. Use $x$ for your variable. $\square$
or $\leq \square$ $\geq \square$

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Problem 716

18. Using sketches of $f(x)=\frac{1}{\sec x}$ and $g(x)=\frac{1}{\sin x}$ , determine where $\sec x \geq \csc x$ for $0^{r} \leq x \leq 2 \pi^{r}$ . State your answer using interval notation. Include any asymptotes in your sketches. 5]

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Problem 717

18. Using sketches of $f(x)=\sec x$ and $g(x)=\csc x$ , determine where $\sec x>\csc x$ for $0^{r} \leq x \leq 2 \pi^{r}$ . State your answer using interval notation. Include any asymptotes in your sketches.

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Problem 718

Absolute Value Inequalities (Level 2) Score: 1/5 Penalty: 1 off
Question Watch Video Show Examples
Solve the following inequality algebraically. $2|x+10|+4<16$
Answer Attempt 1 out of 2 $\square$ Submit Answer $\phi$ or $\infty$ $<$ $>$ $\leq$ $\geq$ [,] (,) (,) (,) All Real Numbers

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Problem 719

Match the real-world situation with the inequality.
My math grade is above a 60 $\qquad$
Todd's family owns (at least 60 $\qquad$ acres of land.
There were fewer than 60 at $\qquad$ the concert
At Most, Greg is allowed to watch 60 minutes of TV on the $\qquad$ weekend.

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Problem 720

Cory has a gym membership that can be represented by the inequality $\frac{x}{12} \leq 7$ .
Cory has a choose your answer... $\square$ membership that costs $x$ dollars. He pays choose your answer... $\square$ each month.

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Problem 721

$-18.4 s \leq-19.74-18.6 s$
Write your answer with s first, followed by an inequality symbol. $\square$ Submit

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Problem 722

Claim: The standard deviation of pulse rates of adult males is more than 11 bpm . For a random sample of 140 adult males, the pulse rates have a standard deviation of 11.3 bpm . Complete parts (a) and (b) below. a. Express the original claim in symbolic form. $\square$ $\square$ $\square$ bpm (Type an integer or a decimal. Do not round.)

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Problem 723

Solve for $m$ $m+\frac{1}{3}<-2 \frac{1}{4}$ $m>-2 \frac{7}{12}$ $m>-1 \frac{11}{12}$ $m<-1 \frac{11}{12}$ $m<-2 \frac{7}{12}$

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Problem 724

Solve the inequality. $3 x^{2}+4<4 x$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ . (Type your answer in interval notation.) B. The solution set is the empty set.

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Problem 725

A graph is shown below:
Which of the following inequalities is best represented by this graph? (1 point) 1) $5 x+y \leq 2$ 2) $5 x+y \geq 2$ 3) $5 x-y \leq 2$ 4) $5 x-y \geq 2$

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Problem 726

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?
You can afford to download Select an answerv $\square$ games.

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Problem 727

Use the graph of the quadratic function f to determine the solution. (a) Solve $f(x)>0$ . (b) Solve $f(x) \leq 0$ . (a) The solution to $f(x)>0$ is $\square$ (Type your answer in interval notation.) (b) The solution to $f(x) \leq 0$ is $\square$ (Type your answer in interval notation.)

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Problem 728

Cool Down Lin's job pays $\$ 8.25$ an hour plus $\$ 10$ of transportation allowance each week. She has to work at least 5 hou week to keep the job, and can earn up to $\$ 175$ per week (including the allowance).
1. Represent this situation mathematically. If you use variables, specify what each one means.
2. How many hours per week can Lin work? Explain or show your reasoning.

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Problem 729

Solve the inequality. $-\frac{3}{10} y \leq 12$
The solution set is $\{y \mid$ $\square$ \}.

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Problem 730

Graph the inequality. $y \geq x-3$

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Problem 731

You are choosing between two different cell phone plans. The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $\$ 49.95$ plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the neare whole minute.

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Problem 732

Over 8-2 \& 8-3) Question 3 or 12 This questioni:
Suppose a principal claims that the mean test score at her school is greater than the national average. She performs a hypothesis test and finds the test statistic to be $t=1.77$ and she knows the critical value for this test to be $t=1.98$ . What can she conclude? A. There is not sufficient evidence to support her claim since the test statistic does not fall in the critical region. B. There is not sufficient evidence to support her claim since the test statistic falls in the critical region. C. There is sufficient evidence to support her claim since the test statistic falls in the critical region. D. There is sufficient evidence to support her claim since the test statistic does not fall in the critical region.

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Problem 733

Bea can spend $\$ 200$ monthly on a $\$ 22,500$ loan at $6\%$ . Check if 12-year or 20-year loans fit her budget.

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Problem 734

Compare $-1.96312 \ldots$ and $-\sqrt{5}$ . Provide your calculations and reasoning.

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Problem 735

Solve the inequality $2y + 6 > 20$ and identify the corresponding graph.

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Problem 736

Solve the inequality $2y + 6 > 20$ and identify the correct graph for the solution.

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Problem 737

Solve the inequality $9|2 x-1|+4<49$ .

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Problem 738

Find the graph of the inequality $|\frac{1}{2} x + 2| \geq 1$ .

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Problem 739

Graph the inequality $\left|\frac{1}{2} x + 2\right| \geq 1$ .

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Problem 740

Solve the inequality $|x-7|+12 \leq 25$ and select the correct solution set from the options given.

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Problem 741

Write $<_{,}>$ or $=$ to make these statements true: 42,333 _ 42,303; 53,191 _ 53,091; 1,785 ___ 1,758.

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Problem 742

Determine the quadrants for angle $\theta$ where $\cos \theta > 0$ and $\sin \theta < 0$ .

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Problem 743

Determine the quadrants where $\csc \alpha > 0$ and $\cos \alpha > 0$ .

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Problem 744

Samantha's hall holds 144 people max, with tables for 8. Write an inequality for the number of tables, $t$ .

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Problem 745

Samantha's hall can hold 144 people with tables for 8.
A) Form an inequality. B) Explain each part. C) Max tables she can use? Justify with the inequality.

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Problem 746

Jack travels 2.45 miles and Wanda travels 2.31 miles. Who travels farther?

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Problem 747

An airport worker uses ear mufflers due to airplane engine sounds being more than 120 decibels. What is the sound level?

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Problem 748

Solve the inequality $2y + 6 > 20$ and identify the correct graph of the solution.

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Problem 749

Find values for the inequality $c+10<17$ . Choose two from: 3, 5, 7, 11, 14.

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Problem 750

Paul sells \ $2 raffle tickets. To earn a jacket, he needs \$230 total. If he sold \$50, how many more tickets,$ x $, does he need? (A)$ x \geq 90 $(B)$ x \leq 90 $(C)$ x \geq 180 $(D)$ x \leq 180$

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Problem 751

Find the values of $k$ for the inequality $5 < k - 2 < 11$ .

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Problem 752

Find the smallest integer $x$ that satisfies the inequality $5x + 4.6 \geq 20.4$ . Options: A. 2 B. 3 C. 4 D. 5 E. 6

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Problem 753

Jun sells necklaces for \$5.00 each, costing \$0.50 to make. With a \$95 vendor fee, how many must he sell to profit?

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Problem 754

Jun sells necklaces for \$5.00, costing \$0.50 each. With a \$95.00 fee, how many must he sell to profit? A. 19 B. 20 C. 21 D. 22 E. 23

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Problem 755

Solve the compound inequality: $x+4>8$ or $4-x>6$ . Provide the solution set in interval and graph forms.

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Problem 756

Solve the inequality $x+2>4$ or $2-x>4$ and express the solution set in interval notation.

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Problem 757

Solve the compound inequality: $x+4>8$ or $4-x>6$ . Provide the solution set in interval notation and graph it.

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Problem 758

Solve the compound inequality: $x+3>11$ or $-2x+4 \geq 8$ . Provide the solution in interval and graph form.

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Problem 759

$5>8$
TRUE FALSE

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Problem 760

Select the values that make the inequality $x<-1$ true. (Numbers written in order from least to greatest going across.)
Answer Attempt 1 out of 3 $-9$ $-6$ $-4$ $-2$ $-1.1$ -1.01 -1.001 $-1$ -0.999 -0.99 $-0.9$ 0 2 4 7 Submit Answer

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Problem 761

Determine whether the given statement is true or false if $k=2$ . $7 k^{2}-5 k+12 \geq 4 k+23$ The statement is true. The statement is false.

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Problem 762

Question 16 4 pts
A sociologist wants to determine if the average household income in a city is greater than the state average of $\$ 50,000$ . She collects data from a random sample of 35 households, and the population standard deviation is unknown.
What type of hypothesis test is appropriate? One-tailed T test for the nean- Two-tailed Z test for the mean Two-tailed T test for the mean One-tailed Z test for the proportion One-tailed Z test for the mean

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Problem 763

$-2 y+\geqslant y+4$

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Problem 764

Question 12 You are offered two different sales jobs. The first company offers a straight commission of $5 \%$ of the sales. The second company offers a salary of $\$ 440$ per week plus $3 \%$ of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

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Problem 765

$|x+7|<6$

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Problem 766

$5|x-7|+8 \leq 43$

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Problem 767

2. The cost of auto repairs at a dealership is $\$ 175$ for the parts plus $\$ 25$ per hour for labor. The cost of the same repairs at a neighborhood garage is $\$ 190$ for the parts plus $\$ 22.50$ per hour for labor. State your answers in context. a) Create and solve an algebraic model to determine when the cost of repairs at the neighborhood garage is less than the cost of repairs at the dealership.

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Problem 768

\text{Your sister tells you that she will do the whole job for \$300, parts included. How many hours of labor would be required at the neighborhood garage to make the cost at the garage exceed what your sister will charge for the job? (Use a model to answer this.)} \\
\text{The hourly labor rate at the neighborhood garage is \$6 per hour.} \\

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Problem 769

47. $(5 x-3)^{2}>-2$

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Problem 770

$\square$ 3.Solve the inequality $|3 x| \geq 12$ . $x \geq 36$ or $x \leq-36$ $x \geq 4$ or $x \leq-12$ $x \geq 4$ or $x \leq-4$ $x \geq 12$ or $x \leq-4$

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Problem 771

4. Identify the correct solution to the inequality below: $|m|<10$ $m<10$ and $m>-10$ All Real Numbers No Solution $m<10$ or $m>-10$

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Problem 772

$n-4 \geq 13$

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Problem 773

$n-4 \geq 13$

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Problem 774

If $f(3)=9$ and $f^{\prime}(x) \geq 2$ for $3 \leq x \leq 8$ , how small can $f(8)$ possibly be? $f(8) \geq$ $\square$

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Problem 775

Solve the inequality. $\begin{array}{l} x-7 \leq 9 \\ x \leq[?] \end{array}$

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Problem 776

Graph the inequality in the coordinate plane.
1. $y<x$
2. $y \leq 3 x-6$
3. $x-2 y>-4$

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Problem 777

$n \div 3<18$

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Problem 778

Dwayne will spend $\$ 80$ on video games. Used video games cost $\$ 10$ each, and new video games cost $\$ 20$ each. Let $x$ represent the number of used video games and let $y$ represent he number of new video games he can buy. Which ordered pairs represent possible combinations of video games that Dwayne can buy? A. $(0,4)$ B. $(2,3)$ C. $(1,6)$ D. $(7,2)$ E. $(8,0)$

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Problem 779

of games in a community center. They charge $\$ 8$ per person for entry into the event. The group wol to earn at least $\$ 600$ , after paying for the cost of renting the space, which is $\$ 40$ an hour.
1. If $x$ represents the number of entry tickets sold and $y$ the hours of space rental, which inequal represents the constraints in the situation? a. $8 x-40 y<600$ b. $8 x-40 y \leq 600$ c. $8 x-40 y>600$ d. $8 x-40 y \geq 600$

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Problem 780

b) $|3-4 x| \geqslant 2$

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Problem 781

Solve the inequality for $w$ . $-\frac{4}{9} w-6 \leq-10$
Simplify your answer as much as possible. $\square$

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Problem 782

Solve the following inequality algebraically. $5 x^{2}-14 x-4 \leq 5 x$

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Problem 783

Place the correct symbol ( $<,>$ , or $=$ ) in the space. (a) 1 0 \longdiv { ? \vee \frac { 2 1 } { 2 } } (b) $-10 ?-\frac{21}{2}$ (c) $10.5 ? \frac{21}{2}$

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Problem 784

Exercice 5 Démontrer que les énégalités suivantes, valables pour tout $x \geq 0, \sin h(x)-x \geq 0, \cos h(x) \geq 1+\frac{x^{2}}{2}$
1

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Problem 785

Consider the following polynomial inequality. $x^{2}(x+6)(x-3)>0$
Step 1 of 2 : Write the polynomial inequality in the form $p(x)<0, p(x) \leq 0, p(x)>0$ , or $p(x) \geq 0$ ; then find the real zeros of $p(x)$ .

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Problem 786

Graph the following inequality. $y \geq x^{2}+6$

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Problem 787

$2 x-8 \leqslant 10^{-3}$

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Problem 788

Solve the inequalitities $2(3-x)-3 \leqslant 12$

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Problem 789

Graph the inequality $|4x + 2| < 10$ .

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Problem 790

Solve the inequality $-16 \leq -2x - 6 \leq 0$ and graph the solution.

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Problem 791

Solve the inequality $6 x - 12 \leq 3 x + 6$ . What is the solution?

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Problem 792

Find the missing number in $6.027 \square 6.009$ to order them from greatest to least. Options: A) 6.25 B) 6.02 C) 6.005 D) 6.028.

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Problem 793

Solve the inequality $-1.75(q-5)>3(q+2.5)$ step by step, explaining the properties used.

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Problem 794

Solve the inequality $3 v-5 \leq 2 v+10$ using two methods and compare the results. Which method do you prefer?

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Problem 795

If -5 plus an integer is positive, what can you say about the integer's sign and value? Explain your reasoning.

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Problem 796

If $\frac{5}{6}$ is multiplied by $\frac{3}{4}$ , is the product greater than the factors? Explain your answer.

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Problem 797

Multiply $\frac{5}{6}$ by $\frac{3}{4}$ . Is the product greater than the factors? Explain your reasoning.

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Problem 798

If 69 out of 81 states approve an amendment, does it meet the $\frac{5}{6}$ requirement for amending the constitution?

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Problem 799

Solve the inequality $|x-1|-2x>1$ .

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Problem 800

Which situation represents the inequality $0.10 x + 8 > 0.05 x + 10$ for Super Cab vs. Ride Time costs?

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1 ...5 6 7 8 9 10 11 ...20

Inequality

Problem 701

QUESTION 4 / 7 - LEVEL 2 151515For what value(s) of ppp is 3x2−2px+3>03 x^{2}-2 p x+3>03x2−2px+3>0 true for all real xxx-values? MARK(S)

Problem 702

Problem 703

Compare using >,<>,<>,<, or ===. Hint: Think about how you would fill in each rectangle below to help you compare the fractions. 12□42\frac{1}{2} \square \frac{4}{2}21​□24​

Problem 704

Compare using >>>, <, or ===. Hint: Think about how you would fill in each rectangle below to help you compare the fractions. 32∽36\frac{3}{2} \backsim \frac{3}{6}23​∽63​

Problem 705

Compare using >>>, <<<, or ===. Hint: Think about how you would fill in each rectangle below to help you compare the fractions. 46∽36\frac{4}{6} \backsim \frac{3}{6}64​∽63​ \begin{tabular}{|l|l|l|l|l|l|} \hline & & & & & \\ \hline \hline & & & & & \\ \hline \end{tabular}

Problem 706

Compare using >,<>,<>,<, or ===. Hint: Think about how you would fill in each rectangle below to help you compare the fractions. 46∽∨44\frac{4}{6} \backsim \vee \frac{4}{4}64​∽∨44​

Problem 707

Compare using >,<>,<>,<, or ===. Hint: Think about how you would fill in each circle below to help you compare the fractions. 98∽58\frac{9}{8} \backsim \frac{5}{8}89​∽85​

Problem 708

Compare using >,<>,<>,<, or ===. Hint: Think about how you would fill in each circle below to help you compare the fractions. 22∽✓26\frac{2}{2} \backsim \checkmark \frac{2}{6}22​∽✓62​

Problem 709

Plot 34\frac{3}{4}43​.Plot 38\frac{3}{8}83​.Use the number lines above to compare 34\frac{3}{4}43​ and 38\frac{3}{8}83​. 34<38\frac{3}{4}<\frac{3}{8}43​<83​

Problem 710

Plot 34\frac{3}{4}43​.Plot 38\frac{3}{8}83​.Use the number lines above to compare 34\frac{3}{4}43​ and 38\frac{3}{8}83​. 34<38\frac{3}{4}<\frac{3}{8}43​<83​

Problem 711

Compare using >,<>,<>,<, or ===. 34◯44\frac{3}{4} \bigcirc \frac{4}{4}43​◯44​

Problem 712

Compare using >,<>,<>,<, or === 46∽48\frac{4}{6} \backsim \frac{4}{8}64​∽84​

Problem 713

lowing inequality algebraically. ∣x−7∣>8|x-7|>8∣x−7∣>8Attempt 1 out of 2

Problem 714

Write a compound inequality for the graph shown below. Use xxx for your variable.

Problem 715

Write a compound inequality for the graph shown below. Use xxx for your variable. □\square□ or ≤□\leq \square≤□ ≥□\geq \square≥□

Problem 716

Problem 717

18. Using sketches of f(x)=sec⁡xf(x)=\sec xf(x)=secx and g(x)=csc⁡xg(x)=\csc xg(x)=cscx, determine where sec⁡x>csc⁡x\sec x>\csc xsecx>cscx for 0r≤x≤2πr0^{r} \leq x \leq 2 \pi^{r}0r≤x≤2πr. State your answer using interval notation. Include any asymptotes in your sketches.

Problem 718

Problem 719

Match the real-world situation with the inequality.My math grade is above a 60 \qquadTodd's family owns (at least 60 \qquad acres of land.There were fewer than 60 at \qquad the concertAt Most, Greg is allowed to watch 60 minutes of TV on the \qquad weekend.

Problem 720

Cory has a gym membership that can be represented by the inequality x12≤7\frac{x}{12} \leq 712x​≤7.Cory has a choose your answer... □\square□ membership that costs xxx dollars. He pays choose your answer... □\square□ each month.

Problem 721

−18.4s≤−19.74−18.6s-18.4 s \leq-19.74-18.6 s−18.4s≤−19.74−18.6sWrite your answer with s first, followed by an inequality symbol. □\square□ Submit

Problem 722

Problem 723

Solve for mmm m+13<−214m+\frac{1}{3}<-2 \frac{1}{4}m+31​<−241​ m>−2712m>-2 \frac{7}{12}m>−2127​ m>−11112m>-1 \frac{11}{12}m>−11211​ m<−11112m<-1 \frac{11}{12}m<−11211​ m<−2712m<-2 \frac{7}{12}m<−2127​

Problem 724

Solve the inequality. 3x2+4<4x3 x^{2}+4<4 x3x2+4<4xSelect the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is □\square□ . (Type your answer in interval notation.) B. The solution set is the empty set.

Problem 725

A graph is shown below:Which of the following inequalities is best represented by this graph? (1 point) 1) 5x+y≤25 x+y \leq 25x+y≤2 2) 5x+y≥25 x+y \geq 25x+y≥2 3) 5x−y≤25 x-y \leq 25x−y≤2 4) 5x−y≥25 x-y \geq 25x−y≥2

Problem 726

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?You can afford to download Select an answerv □\square□ games.

Problem 727

Problem 728

Problem 729

Solve the inequality. −310y≤12-\frac{3}{10} y \leq 12−103​y≤12The solution set is {y∣\{y \mid{y∣ □\square□ \}.

Problem 730

Graph the inequality. y≥x−3y \geq x-3y≥x−3

Problem 731

Problem 732

Problem 733

Bea can spend $200\$ 200$200 monthly on a $22,500\$ 22,500$22,500 loan at 6%6\%6%. Check if 12-year or 20-year loans fit her budget.

Problem 734

Compare −1.96312…-1.96312 \ldots−1.96312… and −5-\sqrt{5}−5​. Provide your calculations and reasoning.

Problem 735

Solve the inequality 2y+6>202y + 6 > 202y+6>20 and identify the corresponding graph.

Problem 736

Solve the inequality 2y+6>202y + 6 > 202y+6>20 and identify the correct graph for the solution.

Problem 737

Solve the inequality 9∣2x−1∣+4<499|2 x-1|+4<499∣2x−1∣+4<49.

Problem 738

Find the graph of the inequality ∣12x+2∣≥1|\frac{1}{2} x + 2| \geq 1∣21​x+2∣≥1.

Problem 739

Graph the inequality ∣12x+2∣≥1\left|\frac{1}{2} x + 2\right| \geq 1∣∣​21​x+2∣∣​≥1.

Problem 740

Solve the inequality ∣x−7∣+12≤25|x-7|+12 \leq 25∣x−7∣+12≤25 and select the correct solution set from the options given.

Problem 741

Write <,><_{,}><,​> or === to make these statements true: 42,333 ___ 42,303; 53,191 ___ 53,091; 1,785 ___ 1,758.

Problem 742

Determine the quadrants for angle θ\thetaθ where cos⁡θ>0\cos \theta > 0cosθ>0 and sin⁡θ<0\sin \theta < 0sinθ<0.

Problem 743

Determine the quadrants where csc⁡α>0\csc \alpha > 0cscα>0 and cos⁡α>0\cos \alpha > 0cosα>0.

Problem 744

QUESTION 4 / 7 - LEVEL 2 $15$
For what value(s) of $p$ is $3 x^{2}-2 p x+3>0$ true for all real $x$ -values? MARK(S)

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{1}{2} \square \frac{4}{2}$

Compare using $>$ , <, or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{3}{2} \backsim \frac{3}{6}$

Compare using $>$ , $<$ , or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{4}{6} \backsim \frac{3}{6}$ \begin{tabular}{|l|l|l|l|l|l|} \hline & & & & & \\ \hline \hline & & & & & \\ \hline \end{tabular}

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each rectangle below to help you compare the fractions. $\frac{4}{6} \backsim \vee \frac{4}{4}$

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each circle below to help you compare the fractions. $\frac{9}{8} \backsim \frac{5}{8}$

Compare using $>,<$ , or $=$ . Hint: Think about how you would fill in each circle below to help you compare the fractions. $\frac{2}{2} \backsim \checkmark \frac{2}{6}$

Plot $\frac{3}{4}$ .
Plot $\frac{3}{8}$ .
Use the number lines above to compare $\frac{3}{4}$ and $\frac{3}{8}$ . $\frac{3}{4}<\frac{3}{8}$

Plot $\frac{3}{4}$ .
Plot $\frac{3}{8}$ .
Use the number lines above to compare $\frac{3}{4}$ and $\frac{3}{8}$ . $\frac{3}{4}<\frac{3}{8}$

Compare using $>,<$ , or $=$ . $\frac{3}{4} \bigcirc \frac{4}{4}$

Compare using $>,<$ , or $=$ $\frac{4}{6} \backsim \frac{4}{8}$

lowing inequality algebraically. $|x-7|>8$
Attempt 1 out of 2

Write a compound inequality for the graph shown below. Use $x$ for your variable.

Write a compound inequality for the graph shown below. Use $x$ for your variable. $\square$
or $\leq \square$ $\geq \square$

18. Using sketches of $f(x)=\sec x$ and $g(x)=\csc x$ , determine where $\sec x>\csc x$ for $0^{r} \leq x \leq 2 \pi^{r}$ . State your answer using interval notation. Include any asymptotes in your sketches.

Match the real-world situation with the inequality.
My math grade is above a 60 $\qquad$
Todd's family owns (at least 60 $\qquad$ acres of land.
There were fewer than 60 at $\qquad$ the concert
At Most, Greg is allowed to watch 60 minutes of TV on the $\qquad$ weekend.

Cory has a gym membership that can be represented by the inequality $\frac{x}{12} \leq 7$ .
Cory has a choose your answer... $\square$ membership that costs $x$ dollars. He pays choose your answer... $\square$ each month.

$-18.4 s \leq-19.74-18.6 s$
Write your answer with s first, followed by an inequality symbol. $\square$ Submit

Solve for $m$ $m+\frac{1}{3}<-2 \frac{1}{4}$ $m>-2 \frac{7}{12}$ $m>-1 \frac{11}{12}$ $m<-1 \frac{11}{12}$ $m<-2 \frac{7}{12}$

Solve the inequality. $3 x^{2}+4<4 x$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ . (Type your answer in interval notation.) B. The solution set is the empty set.

A graph is shown below:
Which of the following inequalities is best represented by this graph? (1 point) 1) $5 x+y \leq 2$ 2) $5 x+y \geq 2$ 3) $5 x-y \leq 2$ 4) $5 x-y \geq 2$

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?
You can afford to download Select an answerv $\square$ games.

Solve the inequality. $-\frac{3}{10} y \leq 12$
The solution set is $\{y \mid$ $\square$ \}.

Graph the inequality. $y \geq x-3$

Bea can spend $\$ 200$ monthly on a $\$ 22,500$ loan at $6\%$ . Check if 12-year or 20-year loans fit her budget.

Compare $-1.96312 \ldots$ and $-\sqrt{5}$ . Provide your calculations and reasoning.

Solve the inequality $2y + 6 > 20$ and identify the corresponding graph.

Solve the inequality $2y + 6 > 20$ and identify the correct graph for the solution.

Solve the inequality $9|2 x-1|+4<49$ .

Find the graph of the inequality $|\frac{1}{2} x + 2| \geq 1$ .

Graph the inequality $\left|\frac{1}{2} x + 2\right| \geq 1$ .

Solve the inequality $|x-7|+12 \leq 25$ and select the correct solution set from the options given.

Write $<_{,}>$ or $=$ to make these statements true: 42,333 _ 42,303; 53,191 _ 53,091; 1,785 ___ 1,758.

Determine the quadrants for angle $\theta$ where $\cos \theta > 0$ and $\sin \theta < 0$ .

Determine the quadrants where $\csc \alpha > 0$ and $\cos \alpha > 0$ .

Samantha's hall holds 144 people max, with tables for 8. Write an inequality for the number of tables, $t$ .

Samantha's hall can hold 144 people with tables for 8.
A) Form an inequality. B) Explain each part. C) Max tables she can use? Justify with the inequality.

Solve the inequality $2y + 6 > 20$ and identify the correct graph of the solution.

Find values for the inequality $c+10<17$ . Choose two from: 3, 5, 7, 11, 14.

Find the values of $k$ for the inequality $5 < k - 2 < 11$ .

Find the smallest integer $x$ that satisfies the inequality $5x + 4.6 \geq 20.4$ . Options: A. 2 B. 3 C. 4 D. 5 E. 6

Solve the compound inequality: $x+4>8$ or $4-x>6$ . Provide the solution set in interval and graph forms.

Solve the inequality $x+2>4$ or $2-x>4$ and express the solution set in interval notation.

Solve the compound inequality: $x+4>8$ or $4-x>6$ . Provide the solution set in interval notation and graph it.

Solve the compound inequality: $x+3>11$ or $-2x+4 \geq 8$ . Provide the solution in interval and graph form.

$5>8$
TRUE FALSE

Select the values that make the inequality $x<-1$ true. (Numbers written in order from least to greatest going across.)
Answer Attempt 1 out of 3 $-9$ $-6$ $-4$ $-2$ $-1.1$ -1.01 -1.001 $-1$ -0.999 -0.99 $-0.9$ 0 2 4 7 Submit Answer

Determine whether the given statement is true or false if $k=2$ . $7 k^{2}-5 k+12 \geq 4 k+23$ The statement is true. The statement is false.

$-2 y+\geqslant y+4$

$|x+7|<6$

$5|x-7|+8 \leq 43$

47. $(5 x-3)^{2}>-2$

$\square$ 3.Solve the inequality $|3 x| \geq 12$ . $x \geq 36$ or $x \leq-36$ $x \geq 4$ or $x \leq-12$ $x \geq 4$ or $x \leq-4$ $x \geq 12$ or $x \leq-4$

4. Identify the correct solution to the inequality below: $|m|<10$ $m<10$ and $m>-10$ All Real Numbers No Solution $m<10$ or $m>-10$

$n-4 \geq 13$

$n-4 \geq 13$

If $f(3)=9$ and $f^{\prime}(x) \geq 2$ for $3 \leq x \leq 8$ , how small can $f(8)$ possibly be? $f(8) \geq$ $\square$