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Solve the compound inequality

-3 ≤ 2x - 7 ≤ 5

pls help

1 Answer

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Answer:2 ≤ x ≤ 6.

Explanation:

We can solve the inequality -3 ≤ 2x - 7 ≤ 5 by following these steps:

Add 7 to all sides of the inequality to isolate the variable term:

-3 + 7 ≤ 2x - 7 + 7 ≤ 5 + 7

4 ≤ 2x ≤ 12

Divide all sides by 2:

4/2 ≤ 2x/2 ≤ 12/2

2 ≤ x ≤ 6

So the solution to the inequality -3 ≤ 2x - 7 ≤ 5 is 2 ≤ x ≤ 6.

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