Answer
The solution set is the region shaded GRAY
.
Work Step by Step
We will graph the solution region for each inequality.
1. (red)
$x=2 \quad $solid line ( sign is $\leq )$,
... a vertical line passing through (2,0)
Testing (0,0):$\quad 0 \leq$2 $\quad ?$
Yes, shade the region containing (0,0)
2 (blue)
$y=-1 \quad $solid line ( sign is $\geq )$,
... a horizontal line passing through $(0,-1) $
Testing (0,0):$\quad 0\geq-1 \quad ?$
Yes, shade the region containing (0,0)
The solution set is the region with BOTH shadings
The solution set is the region shaded GRAY