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Solve the compound inequality statement. -5 < -2x + 3 ≤ 12

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Answer:

-9/2 ≤x≤ 4

Explanation:

Solve the compound inequality statement.

-5 < -2x + 3 ≤ 12

Subtract 3 from all sections.

-5-3 < -2x + 3-3 ≤ 12-3

-8 < -2x ≤ 9

Divide all by -2, remembering to flip all the inequalities

-8/-2 ≥ -2x/-2 ≥ 9/-2

4≥ x -9/2

Rewriting

-9/2 ≤x≤ 4

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