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