Answer
The solution set is the region shaded GRAY
.
Work Step by Step
We will graph the solution region for each inequality.
1. $ x-y=2,\quad$ solid line $(\leq)$
x:intercept: $ x-0=2\quad$point: $(2,0)$
y:intercept: $ 0-y=2\quad$point: $(0,-2)$
Test (0,0):$\quad 0-0\leq 2?\quad$ Yes
Shade the region containing (0,0)
2. $ x=-2,\quad$ dashed $( < )$,
vertical line passing through $(-2,0)$
Test (0,0):$\quad 0 > - 2?\quad$ Yes
Shade the region containing (0,0)
3. $ y=3, \quad$ solid line $(\geq),$
horizontal line passing through $(0, 3)$
Test (0,0):$\quad 0\leq 3?\quad$ Yes
Shade the region containing (0,0)
If there is a solution set,
it is the region with ALL 3 shadings.
The solution set is the region shaded GRAY