Question

Solve the following inequality.

Answer 1

D. -6 < x ≤ -3.

Explanation:

21 ≤ -3(x - 4) < 30

-3(x - 4) < 30

-3x + 12 < 30

-3x < 18

x > -6. (Note: the sign flips when you divide by a negative).

-3(x - 4) ≥ 21

-3x + 12 ≥ 21

-3x ≥ 9

x ≤ -3.