Solve the inequality

$-15<\frac{3(x-2)}{5} \leq 0$

$\Rightarrow-75<3(x-2) \leq 0$

$\Rightarrow-25

$\Rightarrow-25+2

$\Rightarrow-23

Thus, the solution set for the given inequalityis (–23, 2].