Answer
$\left\{x|-5 \le x \lt 2\right\}$
Refer to the attached image below for the graph.
Work Step by Step
A bracket on the left means that $-5$ is included in the set.
A parenthesis on the right means that $2$ is not included in the set.
Therefore, the set-builder form of the given interval is:
$\left\{x|-5 \le x \lt 2\right\}$
To graph the interval, plot a hole (or hollow dot) at x=−2 and a solid dot at x=4, and then shade the region between them.
(refer to the attached image in the answer part for the graph)