Question

Solve the inequality 6 ≤ –3(2x – 4) < 12.

Answer 1

6 ≤ - 3(2x - 4) < 12
⇒ 2 ≤ -(2x - 4) < 4
⇒ -2 ≥ 2x - 4 > -4
⇒ 4 - 2 ≥ 2x > 4 - 4
⇒ 2 ≥ 2x > 0
⇒1 ≥ x > 0
Thus, the solution set for the given inequality is (0, 1].