Which of the following represents the solution to the inequality 2 start absolute value 5 minus 2 x end absolute value minus 3 is less than or equal to 15 ?

Add 3 to both sides and divide by 2: |5 − 2x| ≤ 9. This means −9 ≤ 5 − 2x ≤ 9; solving the compound inequality gives −2 ≤ x ≤ 7, so the solution is the closed interval [−2, 7], choice D.

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