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