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 $\left\{(x, y)|0 \le y \le 2\right\}$ represents the set of points whose y-values are between $0$ and $2$ including $03$ and $2$ .
These points are found in the region between the horizontal lines $y=0$ and $y=2$.
Since the points on the lines are included, the lines will be graphed using solid lines.
(refer to the attached image in the answer part)