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 inequality $x \ge 2$ represents the region that contains the points whose x-coordinates are are $2$ and above. These points are found to the right of the line $x-2$, including the points on the line itself.
Thus, to sketch the region given by the set, sketch the vertical line $x=2$, then shade the region to its right.
(refer to the attached image in the answer part)
