Answer
$\left\{x|-4 \le x \lt 3\right\}$
Refer to the attached image below for the graph.
Work Step by Step
A bracket on the left means that $-4$ is included in the set.
A parenthesis on the right means that $3$ is not included in the set.
Therefore, the set-builder form of the given interval is:
$\left\{x|-4 \le x \lt 3\right\}$
To graph the interval, plot a solid dot at $x=−4$ and a hollow dot (or a hole) at $x=3$, and then shade the region between them.
(refer to the attached image in the answer part for the graph)
