Answer
$\text{ the interval }
\left[ -5,-3 \right]
$
Work Step by Step
Using properties of inequality, then,
\begin{array}{l}
-2\le x+3\le0\\
-2-3\le x+3-3\le0-3\\
-5\le x\le-3
.\end{array}
Hence, the solution set is $
\text{ the interval }
\left[ -5,-3 \right]
$.