Question

Solve the inequality $-15 < \frac{3(x-2)}{5} ≤ 0$.

Answer 1

$-15 < \frac{3(x-2)}{5} ≤ 0$
⇒ –75 < 3(x – 2) ≤ 0
⇒ –25 < x – 2 ≤ 0
⇒ – 25 + 2 < x ≤ 2
⇒ –23 < x ≤ 2
Thus, the solution set for the given inequality is (–23, 2].