QuestionFind the values of $x$ that satisfy the inequality: $4x + 7 \geq 3(x + 3)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the inequality $4x +7 \geq3(x +3)$ . We need to find the range of values for $x$ that satisfy this inequality

STEP 2

First, we need to simplify the inequality. We can do this by distributing the on the right side of the inequality.
4x +7 \geqx +9

STEP 3

Next, we need to isolate $x$ on one side of the inequality. We can do this by subtracting $3x$ from both sides of the inequality.
$x -3x +7 \geq9$

STEP 4

implify the left side of the inequality.
$x +7 \geq9$

STEP 5

Next, subtract7 from both sides of the inequality to isolate $x$ .
$x \geq9 -7$

STEP 6

implify the right side of the inequality.
$x \geq2$ The range of values for $x$ that satisfy the inequality $4x + \geq3(x +3)$ is $x \geq2$ .

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QuestionFind the values of $x$ that satisfy the inequality: $4x + 7 \geq 3(x + 3)$ .

Studdy Solution

STEP 1

Assumptions1. We are given the inequality $4x +7 \geq3(x +3)$ . We need to find the range of values for $x$ that satisfy this inequality

STEP 2

First, we need to simplify the inequality. We can do this by distributing the on the right side of the inequality.
4x +7 \geqx +9

STEP 3

Next, we need to isolate $x$ on one side of the inequality. We can do this by subtracting $3x$ from both sides of the inequality.
$x -3x +7 \geq9$

STEP 4

implify the left side of the inequality.
$x +7 \geq9$

STEP 5

Next, subtract7 from both sides of the inequality to isolate $x$ .
$x \geq9 -7$

STEP 6

implify the right side of the inequality.
$x \geq2$ The range of values for $x$ that satisfy the inequality $4x + \geq3(x +3)$ is $x \geq2$ .

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QuestionFind the values of xxx that satisfy the inequality: 4x+7≥3(x+3)4x + 7 \geq 3(x + 3)4x+7≥3(x+3).

Studdy Solution

STEP 1

Assumptions1. We are given the inequality 4x+7≥3(x+3)4x +7 \geq3(x +3)4x+7≥3(x+3). We need to find the range of values for xxx that satisfy this inequality

STEP 2

First, we need to simplify the inequality. We can do this by distributing the on the right side of the inequality.4x +7 \geqx +9

STEP 3

Next, we need to isolate xxx on one side of the inequality. We can do this by subtracting 3x3x3x from both sides of the inequality.x−3x+7≥9x -3x +7 \geq9x−3x+7≥9

STEP 4

implify the left side of the inequality.x+7≥9x +7 \geq9x+7≥9

STEP 5

Next, subtract7 from both sides of the inequality to isolate xxx.x≥9−7x \geq9 -7x≥9−7

STEP 6

implify the right side of the inequality.x≥2x \geq2x≥2The range of values for xxx that satisfy the inequality 4x+≥3(x+3)4x + \geq3(x +3)4x+≥3(x+3) is x≥2x \geq2x≥2.

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QuestionFind the values of $x$ that satisfy the inequality: $4x + 7 \geq 3(x + 3)$ .

Assumptions1. We are given the inequality $4x +7 \geq3(x +3)$ . We need to find the range of values for $x$ that satisfy this inequality

First, we need to simplify the inequality. We can do this by distributing the on the right side of the inequality.
4x +7 \geqx +9

Next, we need to isolate $x$ on one side of the inequality. We can do this by subtracting $3x$ from both sides of the inequality.
$x -3x +7 \geq9$

implify the left side of the inequality.
$x +7 \geq9$

Next, subtract7 from both sides of the inequality to isolate $x$ .
$x \geq9 -7$

implify the right side of the inequality.
$x \geq2$ The range of values for $x$ that satisfy the inequality $4x + \geq3(x +3)$ is $x \geq2$ .