Answer
The solution set is the region shaded GRAY
.
Work Step by Step
We will graph the solution region for each inequality.
To graph a line, we need two points....
unless we know it is vertical or horizontal
1. (red)
$x-y=1 \quad $solid line ( sign is $\leq )$,
x-intercept:$\quad x-0=1\quad$ point: ($1,0)$
y-intercept:$ \quad 0+y=1\quad$ point: ($0,1)$
Testing (0,0):$\quad 0-0 \leq 1 \quad ?$
Yes, shade the region containing (0,0)
2 (blue)
$x=2 \quad $solid line ( sign is $\geq )$,
... a vertical line passing through ($2,0$)
Testing (0,0):$\quad 0\geq 2 \quad ?$
No, shade the region not containing (0,0)
The solution set is the region with BOTH shadings
The solution set is the region shaded GRAY