#### Answer

$[-3, -1)$
Refer to the image below for the graph.

#### Work Step by Step

Subtract $5$ to each part of the inequality to obtain:
$\begin{array}{ccccc}
&2-5 &\le &x+5-5 &\lt &4-5
\\&-3 &\le &x &\lt &-1
\end{array}$
Thus, the solution set is $\bf[-3, -1)$.
To graph this solution set, plot a solid dot at $-3$ and a hole (hollow dot) at $-1$ then shade the region in between.
(refer to the attached image in the answer part above for the graph)