Inequality

Problem 1601

Solve the inequality $\frac{x+7}{x-2}<0$ and express the solution in interval notation.

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Problem 1602

Solve the inequality: $\frac{x+2}{x-7}>0$ . Provide the answer in interval notation.

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Problem 1603

Solve the inequality $\frac{x+2}{x-7}>0$ and express the solution in interval notation.

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Problem 1604

Solve the inequality $\frac{(x-6)(x+6)}{x} \leq 0$ and list intervals with their signs in interval notation.

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Problem 1605

Solve the inequality: $\frac{(x-6)(x+6)}{x} \leq 0$ . List intervals and signs for each interval in ascending order.

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Problem 1606

Solve the inequality: $\frac{(x-2)(x+2)}{x} \leq 0$ . List intervals and signs in each interval in ascending order.

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Problem 1607

Solve the inequality: $\frac{(x-7)(x+9)}{x} \leq 0$ . Provide your answer in interval notation.

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Problem 1608

Solve the inequality: $\frac{(x-6)^{2}}{x^{2}-16} \geq 0$ . List intervals and signs in each interval using interval notation.

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Problem 1609

A vehicle goes 25 mph and speeds up by 3 mph each second. Is it legal after 7 seconds?

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Problem 1610

Find the minimum value of $9x - 11$ given that $x \geq \frac{19}{3}$ .

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Problem 1611

Given three positive numbers $x, y, z$ with $x y > z x$ and $y < x$ , determine if $x^{2}$ is greater than, less than, or equal to $z y$ .

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Problem 1612

Solve the inequality: $-6 > -\frac{2}{3} y$ . Then, graph the solution.

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Problem 1613

Write the inequality for $n - 3 \geq -5$ and solve for $n$ .

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Problem 1614

Which choice correctly shows the inequality: $-\frac{3}{4}>-3.46>-2 \frac{1}{3}>6>\frac{16}{5}$ ?

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Problem 1615

Order the numbers $1.3$ and $1 \frac{8}{25}$ from least to greatest.

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Problem 1616

Check if each value of $w$ satisfies the inequality $19 \leq 3w - 8$ .

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Problem 1617

Check if each value of $v$ satisfies the inequality $-5 + 8v \geq -69$ .

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Problem 1618

Check if each value of $v$ (9, 6, -4, 4) satisfies the inequality $2v + 1 < 13$ .

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Problem 1619

Solve the inequalities: (a) $4(7-u)+6u<10$ ; (b) $-2(v+5)+21 \geq 2(6-v)$ . Identify solutions.

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Problem 1620

Solve the inequality $5(7 v+6) \geq 35 v+30$ . What are the possible values for $v$ ?

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Problem 1621

Solve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

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Problem 1622

Solve the inequality $-2(v+5)+21 \geq 2(6-v)$ . What are the possible values for $v$ ?

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Problem 1623

Solve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

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Problem 1624

Solve the inequality $4(5 x+3) \leq 18 x+30$ . What are the possible values for $x$ ?

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Problem 1625

Bart needs to average $70\%$ in his math class with five tests. He scored $41, 50, 49, 43$ on the first four tests. What scores on test five will cause him to fail?

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Problem 1626

Identify numbers less than $\frac{9}{4}$ from the options: A $\frac{11}{4}$ , B $\frac{15}{8}$ , C 2.201.

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Problem 1627

Solve for x: -14 < -4x + 5 ≤ -13. Provide your answer in interval notation.

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Problem 1628

Solve for $x$ in the inequality $3 < -11(x+4) \leq -7$ . Answer in interval notation or type DNE if no solution exists.

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Problem 1629

Solve the inequality: $-11-8x \leq 12+8x$ . Enter your answer as an interval, like $[a, oo)$ .

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Problem 1630

Solve the inequality: $\frac{9}{3}+b<\frac{35}{27}$ . Enter your answer as an interval using "oo" for $\infty$ .

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Problem 1631

Solve the inequality $|4x + 3| < 8$ and express your solution in interval notation.

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Problem 1632

Solve the inequality $\left|\frac{x+21}{7}\right|>1$ and express the solution as an interval.

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Problem 1633

Solve the inequality: $-4|x-1|-3 \leq-23$ . Provide the solution in interval notation.

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Problem 1634

Solve the inequality: $\frac{6}{2}+a \leq \frac{19}{12}$ . Provide your answer as an interval using "oo" for $\infty$ .

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Problem 1635

Solve the inequality: $\frac{6}{2}+a \leq \frac{19}{12}$ . Enter the answer as an interval using "oo" for $\infty$ .

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Problem 1636

Solve the inequality -4|x+4|-2<-10 and express your solution in interval notation.

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Problem 1637

Solve the inequality: $-3|x+5|-5<-11$ . Provide the solution in interval notation.

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Problem 1638

$4b + 18 \le -12b - 14 \le 14 - 5b$

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Problem 1639

Juan wants to earn at least $\$ 57$ trimming trees. He charges $\$ 7$ per hour and pays $\$ 6$ in equipment fees. What are the possible numbers of hours Juan could trim trees?
Use $t$ for the number of hours. Write your answer as an inequality solved for $t$ . $\square$

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Problem 1640

Ex. 4 Graph $2 x+3 y<9$

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Problem 1641

9. (a) Is the ordered pair $\left(\frac{7}{3}, -\frac{1}{2}\right)$ a solution of $3x - 2y \le 8$ ?

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Problem 1642

4) $-4(-4+x)>56$

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Problem 1643

69) $3 x-4 y \geq-8$

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Problem 1644

$7-12 x \geqslant 25-3 x$

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Problem 1645

Knowledge Check Question 9 For each ordered pair $(x, y)$ , determine whether it is a solution to the inequality $4x - 6y \le -18$ . Is it a solution? $(x, y)$ Yes No $(0, 3)$ $(8, 5)$ $(-9, -2)$ $(-5, 1)$

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Problem 1646

Solve for $x$ and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( $\varnothing$ ), leave the number line blank. $2 x+10 \geq 30 \text { or } 2 x+10>34$

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Problem 1647

Solve the inequality and graph the solution on the line provided. $2 x+16<2$

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Problem 1648

$-20+5 x<-30$
Answer Attempt 1 out of 2 $\square$ $\square$ $\square$ $\square$ or
Inequality Notation: $\square$ Number Line: Submit Answer

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Problem 1649

5. Chris is on vacation at a lake house for the weekend and decided to rent a canoe for the day. If they charge a $\$10$ service fee plus $\$38$ per hour, and he can spend at most $\$200$ , how many hours can he rent the canoe?

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Problem 1650

Solve the following inequality: $3n < \frac{5n+28}{4}$

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Problem 1651

Question 17 2 pts
The success/failure condition for a confidence interval for proportions requires there to be: at most 10 success and at most 10 failures at least 10 success and at least 10 failures

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Problem 1652

What is the least value for integer $x$ such that $x, x+5$ , and $2 x-15$ can be the lengths of the sides of a triangle?
The smallest integer $x$ is $\square$
ANSWER Use the toolbar to enter Basic Trig/log $a \beta y$

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Problem 1653

19. The elevation of a coral reef is 12 feet below sea level. The elevation of a snorkeler is 2 feet below sea level. Write an inequality to compare the elevations using integers.

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Problem 1654

Check if the triangle with sides 2, 5, and 6 is a right triangle and find the hypotenuse if it is.

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Problem 1655

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

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Problem 1656

Solve the inequality: -6 ≤ x + 12. Provide the solution in interval notation.

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Problem 1657

A. How many pounds of potatoes can Janice buy with \$ 5, considering their value? Use values \$ 1.50, \$ 1.14, \$ 1.05, \$ 0.30.

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Problem 1658

A. How many pounds of potatoes will Janice buy with \$ 5? B. How many pounds if she had \$ 2? Values: 1st: \$ 1.50, 2nd: \$ 1.14, 3rd: \$ 1.05, others: \$ 0.30.

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Problem 1659

You have \$100 for books (\$25 each) or movie tickets (\$10 each). How do changes in budget or prices affect combinations?
A: Budget increases to \$150, prices same. increase
B: Budget \$100, books \$25, tickets rise to \$20. decrease
C: Budget \$100, tickets \$10, books drop to \$15. increase

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Problem 1660

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

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Problem 1661

Determine the quadrant for angle $\theta$ given that $\cos \theta > 0$ and $\csc \theta < 0$ .

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Problem 1662

Determine the quadrant for angle $\theta$ if $\csc \theta>0$ and $\sec \theta>0$ .

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Problem 1663

Determine the quadrant for angle $\theta$ given that $\cot \theta<0$ and $\cos \theta>0$ .

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Problem 1664

Determine the quadrant for angle $\theta$ if $\sec \theta<0$ and $\tan \theta<0$ .

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Problem 1665

Determine the quadrant for angle $\theta$ given that $\sin \theta > 0$ and $\cos \theta < 0$ .

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Problem 1666

Determine the quadrant for angle $\theta$ given that $\tan \theta>0$ and $\sin \theta<0$ .

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Problem 1667

Determine the quadrant for angle $\theta$ given that $\cot \theta>0$ and $\sin \theta<0$ .

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Problem 1668

Find the quadrant for angle $\theta$ where $\tan \theta<0$ and $\sin \theta<0$ .

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Problem 1669

Determine the quadrant for angle $\theta$ given that $\cos \theta < 0$ and $\csc \theta < 0$ .

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Problem 1670

Solve the inequality: $-\frac{2}{7}(3-4 x)+8<18$ .

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Problem 1671

Find the values of $x$ for which $x^{0}+\left(x^{6} \div x^{3}\right) > 9$ .

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Problem 1672

Solve the inequality: $\frac{2.6 x-4.8}{-2}+3.2 < -8.7$

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Problem 1673

Solve the inequality: $\frac{2}{7}(3-4 x)+8>18$ .

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Problem 1674

Solve these inequalities for 'x':
1) $\frac{2.6x - 4.8}{-2} + 3.2 < x$
2) $\frac{2}{7}(3 - 4x) + 8 > x$

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Problem 1675

Solve the inequality: $-3x + 4 < 5$ .

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Problem 1676

The perimeter of a square clock is $16 \frac{6}{9}$ in, and a rectangle's is $16 \frac{16}{18}$ in. Compare the perimeters.

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Problem 1677

Solve the inequality: $\log _{\frac{3}{5}}(2-x)+\log _{\frac{3}{5}}(x+2)>\log _{\frac{3}{5}} 3 x$ .

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Problem 1678

Solve the inequality: $(\log_{2} x)^{2} - \log_{2} x < 0$ .

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Problem 1679

Risolvi la disequazione: $472\left(\log _{2} x\right)^{2}-\log _{2} x<0$ .

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Problem 1680

Solve the inequality: $\log ^{2} x - 7 \log x + 12 < 0$ .

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Problem 1681

Solve the inequality: $6 \leq n + 3 \frac{1}{4}$ .

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Problem 1682

Write the inequality: $6 \leq n + 3 \frac{1}{4}$ . Then solve for $n$ .

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Problem 1683

Find a point $(x, y)$ that is between 50 and 60 units from $(7, -2)$ using the distance formula: $\sqrt{(x-7)^2 + (y+2)^2}$ .

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Problem 1684

Find values of $x$ for which the volume of a prism is $\geq 500$ cubic units, given width $= x - 5$ and height $= 2x$ .

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Problem 1685

Find possible lengths for a garden with 80 ft of fencing, area > 400 sq ft and < 600 sq ft. Options are: $(0,10) \cup(30,40)$ , $(20-10 \sqrt{2}, 20+10 \sqrt{2})$ , $(0,20-10 \sqrt{2}) \cup(20+10 \sqrt{2}, 40)$ , $(20-10 \sqrt{2}, 10) \cup(30,20+10 \sqrt{2})$ .

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Problem 1686

Return Multiple Choice 20 points used to find the possible values for $p$ ? $\begin{array}{l} p-7>50 \\ p-7<50 \\ p+7 \geq 50 \\ p+7 \leq 50 \end{array}$ Multiple Chaice 20 points

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Problem 1687

5 Matching 20 points Cory has a gym membership that can be represented by the inequality $\frac{z}{12} \leq 7$
Cory has $\qquad$ gym membership that costs x dollars
He pays $\qquad$ each month

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Problem 1688

4.) Leo spent less than $\$ 50$ on pizza for friends. He purchased 4 large pizzas. He says the cost of each pizza, p, in dollars, can be represented by the inequality statement $4 p<50$ . What is the solution to this inequality and what does it mean in that context? a) The solution is $p=12.5$ and it means each pizza costs $\$ 12.50$ . b) The solution is $p<12.5$ and it means each pizza costs less than \ $12.50. c) The solution is$ p>12.5 $and it means each pizza costs more than \$12.50. d) The solution is$ p<46 $and it means each pizza costs less than$ \ $46$ .

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Problem 1689

This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 1690

5th Grade: Unit 4 Study Guide - Test on Thursday, DeC. 17, 24
3. Which expression is true? How do you know? A. $\frac{13}{8}<\frac{5}{3}<\frac{7}{4}$ B. $\frac{13}{8}>\frac{5}{3}>\frac{7}{4}$

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Problem 1691

$y = -6^{4}$
2. $y \ge 2x^2 + 9x + 10$ $4 \cdot 9$ $24 - 9 - 9 + 10$

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Problem 1692

Question 23 Solve: $2x + 4 < -6$ State your solution as a simple inequality, e.g., $x < A$ or $x > A$ Question Help: Video Submit Question
Question 24 Solve: $-8 - 3x \le -5$ Give your answer as an inequality and reduce any fractions. Question Help: Video Submit Question

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Problem 1693

Use inequality symbols (<, > or =) to complete the sentence.
1) $\frac{2}{3} > \frac{2}{5}$ 2) $-\frac{2}{3}$ $-\frac{2}{5}$ 3) $|{-2.3}|$ $-2.8$ 4) $-0.7$ $-0.65$ 5) $\frac{3}{4}$ $|{ -0.8 }|$ 6) $\frac{1}{8}$ $\frac{1}{9}$ 7) $-1\frac{3}{4}$ $-1.75$ 8) $-\frac{5}{2}$ $-3$ 9) $|{ -0.6 }| < |{ -0.55 }|$ 10) $\frac{3}{4}$ $|-\frac{3}{5}|$ 11) $-\frac{3}{4}$ $-\frac{3}{5}$ 12) $|{ -4\frac{1}{2} }|$ $\frac{9}{2}$ 13) $\frac{7}{4}$ $\frac{3}{2}$ 14) $|{ 0.82 }|$ $-0.9$ 15) $\frac{1}{3}$ $0.375$ 16) $-0.27$ $-0.5$ 17) $1\frac{2}{3}$ $8\frac{}{2}$ 18) $|{ -2.3 }|$ $|{ -\frac{5}{2} }|$ 19) $-0.36$ $-0.2$ 20) $\frac{1}{4}$ $\frac{5}{20}$

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Problem 1694

Solve the compound inequality. on a number line. 5) $-4 \le -4x - 12 < 4$

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Problem 1695

Solve the polynomial inequality and graph the solution notation.
13) $x^2 - 3x - 10 \le 0$

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Problem 1696

Solve the absolute value inequality. set on a number line. 17) $|x + 2| + 5 \le 9$

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Problem 1697

(d) $\frac{x^2 - 3x + 2}{x^3 + 4x} \le 0$
When does the graph of $\frac{x^2 + 2x - 4}{x(x-2)^2}$ lie above the graph of $\frac{2}{x(x-2)}$ ?
3. Logarithmic Functions

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Problem 1698

A cyclist rides uphill at $x \mathrm{mph}$ and downhill at $x + 5 \mathrm{mph}$ . Which inequality models average speed $\geq 12 \mathrm{mph}$ ? Options:
1. $\frac{1}{x}+\frac{1}{x+5} \leq \frac{2}{12}$
2. $\frac{1}{x}+\frac{1}{5 x} \geq \frac{2}{12}$
3. $\frac{1}{x}+\frac{1}{x+5} \geq \frac{2}{12}$
4. $\frac{1}{x-5}+\frac{1}{x+5} \geq \frac{2}{12}$

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Problem 1699

Compare $39\%$ and $0.72$ to find which is larger.

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Problem 1700

Write an expression for $u < t - v$ without simplifying it.

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Inequality

Problem 1601

Solve the inequality x+7x−2<0\frac{x+7}{x-2}<0x−2x+7​<0 and express the solution in interval notation.

Problem 1602

Solve the inequality: x+2x−7>0\frac{x+2}{x-7}>0x−7x+2​>0. Provide the answer in interval notation.

Problem 1603

Solve the inequality x+2x−7>0\frac{x+2}{x-7}>0x−7x+2​>0 and express the solution in interval notation.

Problem 1604

Solve the inequality (x−6)(x+6)x≤0\frac{(x-6)(x+6)}{x} \leq 0x(x−6)(x+6)​≤0 and list intervals with their signs in interval notation.

Problem 1605

Solve the inequality: (x−6)(x+6)x≤0\frac{(x-6)(x+6)}{x} \leq 0x(x−6)(x+6)​≤0. List intervals and signs for each interval in ascending order.

Problem 1606

Solve the inequality: (x−2)(x+2)x≤0\frac{(x-2)(x+2)}{x} \leq 0x(x−2)(x+2)​≤0. List intervals and signs in each interval in ascending order.

Problem 1607

Solve the inequality: (x−7)(x+9)x≤0\frac{(x-7)(x+9)}{x} \leq 0x(x−7)(x+9)​≤0. Provide your answer in interval notation.

Problem 1608

Solve the inequality: (x−6)2x2−16≥0\frac{(x-6)^{2}}{x^{2}-16} \geq 0x2−16(x−6)2​≥0. List intervals and signs in each interval using interval notation.

Problem 1609

A vehicle goes 25 mph and speeds up by 3 mph each second. Is it legal after 7 seconds?

Problem 1610

Find the minimum value of 9x−119x - 119x−11 given that x≥193x \geq \frac{19}{3}x≥319​.

Problem 1611

Given three positive numbers x,y,zx, y, zx,y,z with xy>zxx y > z xxy>zx and y<xy < xy<x, determine if x2x^{2}x2 is greater than, less than, or equal to zyz yzy.

Problem 1612

Solve the inequality: −6>−23y-6 > -\frac{2}{3} y−6>−32​y. Then, graph the solution.

Problem 1613

Write the inequality for n−3≥−5n - 3 \geq -5n−3≥−5 and solve for nnn.

Problem 1614

Which choice correctly shows the inequality: −34>−3.46>−213>6>165-\frac{3}{4}>-3.46>-2 \frac{1}{3}>6>\frac{16}{5}−43​>−3.46>−231​>6>516​?

Problem 1615

Order the numbers 1.31.31.3 and 18251 \frac{8}{25}1258​ from least to greatest.

Problem 1616

Check if each value of www satisfies the inequality 19≤3w−819 \leq 3w - 819≤3w−8.

Problem 1617

Check if each value of vvv satisfies the inequality −5+8v≥−69-5 + 8v \geq -69−5+8v≥−69.

Problem 1618

Check if each value of vvv (9, 6, -4, 4) satisfies the inequality 2v+1<132v + 1 < 132v+1<13.

Problem 1619

Solve the inequalities: (a) 4(7−u)+6u<104(7-u)+6u<104(7−u)+6u<10; (b) −2(v+5)+21≥2(6−v)-2(v+5)+21 \geq 2(6-v)−2(v+5)+21≥2(6−v). Identify solutions.

Problem 1620

Solve the inequality 5(7v+6)≥35v+305(7 v+6) \geq 35 v+305(7v+6)≥35v+30. What are the possible values for vvv?

Problem 1621

Solve the inequality −2(y+5)+21>2(7−y)-2(y+5)+21>2(7-y)−2(y+5)+21>2(7−y). What are the possible values for yyy?

Problem 1622

Solve the inequality −2(v+5)+21≥2(6−v)-2(v+5)+21 \geq 2(6-v)−2(v+5)+21≥2(6−v). What are the possible values for vvv?

Problem 1623

Solve the inequality 5(4−u)+5u<165(4-u)+5u<165(4−u)+5u<16. What are the possible values for uuu?

Problem 1624

Solve the inequality 4(5x+3)≤18x+304(5 x+3) \leq 18 x+304(5x+3)≤18x+30. What are the possible values for xxx?

Problem 1625

Bart needs to average 70%70\%70% in his math class with five tests. He scored 41,50,49,4341, 50, 49, 4341,50,49,43 on the first four tests. What scores on test five will cause him to fail?

Problem 1626

Identify numbers less than 94\frac{9}{4}49​ from the options: A 114\frac{11}{4}411​, B 158\frac{15}{8}815​, C 2.201.

Problem 1627

Solve for x: -14 < -4x + 5 ≤ -13. Provide your answer in interval notation.

Problem 1628

Solve for xxx in the inequality 3<−11(x+4)≤−73 < -11(x+4) \leq -73<−11(x+4)≤−7. Answer in interval notation or type DNE if no solution exists.

Problem 1629

Solve the inequality: −11−8x≤12+8x-11-8x \leq 12+8x−11−8x≤12+8x. Enter your answer as an interval, like [a,oo)[a, oo)[a,oo).

Problem 1630

Solve the inequality: 93+b<3527\frac{9}{3}+b<\frac{35}{27}39​+b<2735​. Enter your answer as an interval using "oo" for ∞\infty∞.

Problem 1631

Solve the inequality ∣4x+3∣<8|4x + 3| < 8∣4x+3∣<8 and express your solution in interval notation.

Problem 1632

Solve the inequality ∣x+217∣>1\left|\frac{x+21}{7}\right|>1∣∣​7x+21​∣∣​>1 and express the solution as an interval.

Problem 1633

Solve the inequality: −4∣x−1∣−3≤−23-4|x-1|-3 \leq-23−4∣x−1∣−3≤−23. Provide the solution in interval notation.

Problem 1634

Solve the inequality: 62+a≤1912\frac{6}{2}+a \leq \frac{19}{12}26​+a≤1219​. Provide your answer as an interval using "oo" for ∞\infty∞.

Problem 1635

Solve the inequality: 62+a≤1912\frac{6}{2}+a \leq \frac{19}{12}26​+a≤1219​. Enter the answer as an interval using "oo" for ∞\infty∞.

Problem 1636

Solve the inequality -4|x+4|-2<-10 and express your solution in interval notation.

Problem 1637

Solve the inequality: −3∣x+5∣−5<−11-3|x+5|-5<-11−3∣x+5∣−5<−11. Provide the solution in interval notation.

Problem 1638

4b+18≤−12b−14≤14−5b4b + 18 \le -12b - 14 \le 14 - 5b4b+18≤−12b−14≤14−5b

Problem 1639

Juan wants to earn at least $57\$ 57$57 trimming trees. He charges $7\$ 7$7 per hour and pays $6\$ 6$6 in equipment fees. What are the possible numbers of hours Juan could trim trees?Use ttt for the number of hours. Write your answer as an inequality solved for ttt. □\square□

Problem 1640

Solve the inequality $\frac{x+7}{x-2}<0$ and express the solution in interval notation.

Solve the inequality: $\frac{x+2}{x-7}>0$ . Provide the answer in interval notation.

Solve the inequality $\frac{x+2}{x-7}>0$ and express the solution in interval notation.

Solve the inequality $\frac{(x-6)(x+6)}{x} \leq 0$ and list intervals with their signs in interval notation.

Solve the inequality: $\frac{(x-6)(x+6)}{x} \leq 0$ . List intervals and signs for each interval in ascending order.

Solve the inequality: $\frac{(x-2)(x+2)}{x} \leq 0$ . List intervals and signs in each interval in ascending order.

Solve the inequality: $\frac{(x-7)(x+9)}{x} \leq 0$ . Provide your answer in interval notation.

Solve the inequality: $\frac{(x-6)^{2}}{x^{2}-16} \geq 0$ . List intervals and signs in each interval using interval notation.

Find the minimum value of $9x - 11$ given that $x \geq \frac{19}{3}$ .

Given three positive numbers $x, y, z$ with $x y > z x$ and $y < x$ , determine if $x^{2}$ is greater than, less than, or equal to $z y$ .

Solve the inequality: $-6 > -\frac{2}{3} y$ . Then, graph the solution.

Write the inequality for $n - 3 \geq -5$ and solve for $n$ .

Which choice correctly shows the inequality: $-\frac{3}{4}>-3.46>-2 \frac{1}{3}>6>\frac{16}{5}$ ?

Order the numbers $1.3$ and $1 \frac{8}{25}$ from least to greatest.

Check if each value of $w$ satisfies the inequality $19 \leq 3w - 8$ .

Check if each value of $v$ satisfies the inequality $-5 + 8v \geq -69$ .

Check if each value of $v$ (9, 6, -4, 4) satisfies the inequality $2v + 1 < 13$ .

Solve the inequalities: (a) $4(7-u)+6u<10$ ; (b) $-2(v+5)+21 \geq 2(6-v)$ . Identify solutions.

Solve the inequality $5(7 v+6) \geq 35 v+30$ . What are the possible values for $v$ ?

Solve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

Solve the inequality $-2(v+5)+21 \geq 2(6-v)$ . What are the possible values for $v$ ?

Solve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

Solve the inequality $4(5 x+3) \leq 18 x+30$ . What are the possible values for $x$ ?

Bart needs to average $70\%$ in his math class with five tests. He scored $41, 50, 49, 43$ on the first four tests. What scores on test five will cause him to fail?

Identify numbers less than $\frac{9}{4}$ from the options: A $\frac{11}{4}$ , B $\frac{15}{8}$ , C 2.201.

Solve for $x$ in the inequality $3 < -11(x+4) \leq -7$ . Answer in interval notation or type DNE if no solution exists.

Solve the inequality: $-11-8x \leq 12+8x$ . Enter your answer as an interval, like $[a, oo)$ .

Solve the inequality: $\frac{9}{3}+b<\frac{35}{27}$ . Enter your answer as an interval using "oo" for $\infty$ .

Solve the inequality $|4x + 3| < 8$ and express your solution in interval notation.

Solve the inequality $\left|\frac{x+21}{7}\right|>1$ and express the solution as an interval.

Solve the inequality: $-4|x-1|-3 \leq-23$ . Provide the solution in interval notation.

Solve the inequality: $\frac{6}{2}+a \leq \frac{19}{12}$ . Provide your answer as an interval using "oo" for $\infty$ .

Solve the inequality: $\frac{6}{2}+a \leq \frac{19}{12}$ . Enter the answer as an interval using "oo" for $\infty$ .

Solve the inequality: $-3|x+5|-5<-11$ . Provide the solution in interval notation.

$4b + 18 \le -12b - 14 \le 14 - 5b$

Juan wants to earn at least $\$ 57$ trimming trees. He charges $\$ 7$ per hour and pays $\$ 6$ in equipment fees. What are the possible numbers of hours Juan could trim trees?
Use $t$ for the number of hours. Write your answer as an inequality solved for $t$ . $\square$

Ex. 4 Graph $2 x+3 y<9$

9. (a) Is the ordered pair $\left(\frac{7}{3}, -\frac{1}{2}\right)$ a solution of $3x - 2y \le 8$ ?

4) $-4(-4+x)>56$

69) $3 x-4 y \geq-8$

$7-12 x \geqslant 25-3 x$

Solve for $x$ and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( $\varnothing$ ), leave the number line blank. $2 x+10 \geq 30 \text { or } 2 x+10>34$

Solve the inequality and graph the solution on the line provided. $2 x+16<2$

$-20+5 x<-30$
Answer Attempt 1 out of 2 $\square$ $\square$ $\square$ $\square$ or
Inequality Notation: $\square$ Number Line: Submit Answer

5. Chris is on vacation at a lake house for the weekend and decided to rent a canoe for the day. If they charge a $\$10$ service fee plus $\$38$ per hour, and he can spend at most $\$200$ , how many hours can he rent the canoe?

Solve the following inequality: $3n < \frac{5n+28}{4}$

Question 17 2 pts
The success/failure condition for a confidence interval for proportions requires there to be: at most 10 success and at most 10 failures at least 10 success and at least 10 failures

What is the least value for integer $x$ such that $x, x+5$ , and $2 x-15$ can be the lengths of the sides of a triangle?
The smallest integer $x$ is $\square$
ANSWER Use the toolbar to enter Basic Trig/log $a \beta y$

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

You have \$100 for books (\$25 each) or movie tickets (\$10 each). How do changes in budget or prices affect combinations?
A: Budget increases to \$150, prices same. increase
B: Budget \$100, books \$25, tickets rise to \$20. decrease
C: Budget \$100, tickets \$10, books drop to \$15. increase

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

Determine the quadrant for angle $\theta$ given that $\cos \theta > 0$ and $\csc \theta < 0$ .

Determine the quadrant for angle $\theta$ if $\csc \theta>0$ and $\sec \theta>0$ .

Determine the quadrant for angle $\theta$ given that $\cot \theta<0$ and $\cos \theta>0$ .

Determine the quadrant for angle $\theta$ if $\sec \theta<0$ and $\tan \theta<0$ .

Determine the quadrant for angle $\theta$ given that $\sin \theta > 0$ and $\cos \theta < 0$ .

Determine the quadrant for angle $\theta$ given that $\tan \theta>0$ and $\sin \theta<0$ .

Determine the quadrant for angle $\theta$ given that $\cot \theta>0$ and $\sin \theta<0$ .

Find the quadrant for angle $\theta$ where $\tan \theta<0$ and $\sin \theta<0$ .

Determine the quadrant for angle $\theta$ given that $\cos \theta < 0$ and $\csc \theta < 0$ .

Solve the inequality: $-\frac{2}{7}(3-4 x)+8<18$ .

Find the values of $x$ for which $x^{0}+\left(x^{6} \div x^{3}\right) > 9$ .

Solve the inequality: $\frac{2.6 x-4.8}{-2}+3.2 < -8.7$

Solve the inequality: $\frac{2}{7}(3-4 x)+8>18$ .

Solve these inequalities for 'x':
1) $\frac{2.6x - 4.8}{-2} + 3.2 < x$
2) $\frac{2}{7}(3 - 4x) + 8 > x$