#### Answer

Set-builder notation: $\left\{x | -2 \lt x \le 3\right\}$
Refer to the image below for the graph

#### Work Step by Step

A parenthesis on the left means that the number $-2$ is not included in the set.
A bracket on the right end means that 3 is included in the set.
Thus, the set includes all real numbers greater than -2 and not more than 3.
Therefore, the set-builder notation equivalent of the given interval is:
$\left\{x | -2 \lt x \le 3\right\}$
Recall, when graphing an inequality on a number line, a filled in circle indicates that the number is a solution to the inequality while a circle that is not filled in indicates that a number is not a solution to the inequality.