Which of the following represents the solution to the inequality 2 | 5 - 2x | - 3 ≤ 15

A. (-∞,-2) U (7,∞)

B. (-∞,1.5) U (7.5,∞)

C. [-2,7]

D. [1.5,7.5]

2 | 5 - 2x | - 3 < = 15

2 | 5 - 2x | < = 18

| 5 - 2x | < = 9

-9 < = 5 - 2x < = 9

-9 - 5 < = - 2x < = 9 - 5

-14 < = - 2x < = 4

7 > = x > = - 2

so x is less then or equal to 7 and greater then or equal to - 2

solution is C, [ - 2,7 ]