Answer
$-8\lt r \leq 3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 24\gt -3r \geq -9$
Divide each expression by $-3$. Reverse the inequality symbol.
$\Rightarrow \frac{24}{-3}\lt \frac{-3r}{-3} \leq \frac{-9}{-3}$
Simplify.
$\Rightarrow -8\lt r \leq 3$
Hence, the solution is $-8\lt r \leq 3$.