QuestionSolve the linear inequality: $3 + 2x \leq 7$

Studdy Solution

STEP 1

Assumptions1. The inequality is $3+x \leq7$ . We are solving for $x$

STEP 2

First, we need to isolate the term with $x$ on one side of the inequality. We can do this by subtracting from both sides of the inequality.
$+2x - \leq7 -$

STEP 3

Perform the subtraction on both sides of the inequality.
$2x \leq$

STEP 4

Now, we need to isolate $x$ by dividing both sides of the inequality by2.
$\frac{2x}{2} \leq \frac{4}{2}$

STEP 5

Perform the division on both sides of the inequality.
$x \leq2$ So, the solution to the inequality $3+2x \leq7$ is $x \leq2$ .

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QuestionSolve the linear inequality: $3 + 2x \leq 7$

Studdy Solution

STEP 1

Assumptions1. The inequality is $3+x \leq7$ . We are solving for $x$

STEP 2

First, we need to isolate the term with $x$ on one side of the inequality. We can do this by subtracting from both sides of the inequality.
$+2x - \leq7 -$

STEP 3

Perform the subtraction on both sides of the inequality.
$2x \leq$

STEP 4

Now, we need to isolate $x$ by dividing both sides of the inequality by2.
$\frac{2x}{2} \leq \frac{4}{2}$

STEP 5

Perform the division on both sides of the inequality.
$x \leq2$ So, the solution to the inequality $3+2x \leq7$ is $x \leq2$ .

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QuestionSolve the linear inequality: 3+2x≤73 + 2x \leq 73+2x≤7

Studdy Solution

STEP 1

Assumptions1. The inequality is 3+x≤73+x \leq73+x≤7 . We are solving for xxx

STEP 2

First, we need to isolate the term with xxx on one side of the inequality. We can do this by subtracting from both sides of the inequality.+2x−≤7− +2x - \leq7 -+2x−≤7−

STEP 3

Perform the subtraction on both sides of the inequality.2x≤2x \leq2x≤

STEP 4

Now, we need to isolate xxx by dividing both sides of the inequality by2.2x2≤42\frac{2x}{2} \leq \frac{4}{2}22x​≤24​

STEP 5

Perform the division on both sides of the inequality.x≤2x \leq2x≤2So, the solution to the inequality 3+2x≤73+2x \leq73+2x≤7 is x≤2x \leq2x≤2.

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QuestionSolve the linear inequality: $3 + 2x \leq 7$

Assumptions1. The inequality is $3+x \leq7$ . We are solving for $x$

First, we need to isolate the term with $x$ on one side of the inequality. We can do this by subtracting from both sides of the inequality.
$+2x - \leq7 -$

Perform the subtraction on both sides of the inequality.
$2x \leq$

Now, we need to isolate $x$ by dividing both sides of the inequality by2.
$\frac{2x}{2} \leq \frac{4}{2}$

Perform the division on both sides of the inequality.
$x \leq2$ So, the solution to the inequality $3+2x \leq7$ is $x \leq2$ .