Answer
Refer to the image below for the sketch.
Work Step by Step
RECALL:
The point $(x, y)$ has:
$x$ = directed distance of the point from the y-axis (negative when to the left of the y-axis, positive when to the right)
$y$ = directed distance of the point from the x-axis (negative when below the x-axis, positive when above)
Thus. the set $\left\{(x, y)|-3 \lt x \lt 3\right\}$ represents the set of points whose x-values are between $-3$ and $3$ but not including $-3$ and $3$ .
These points are found in the region between the vertical lines $x=-3$ and $x=3$.
Since the points on the lines are not included, the lines will be graphed using broken lines.
(refer to the attached image in the answer part)