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)
$4x-5y=-20 \quad $solid line ( sign is $\geq )$,
x-intercept:$\quad 4x-0=-20\quad$ point: ($-5,0)$
y-intercept:$ \quad 0-5y=-20\quad$ point: ($0,4)$
Testing (0,0):$\quad 4(0)-5(0) \geq-20 \quad ?$
Yes, shade the region containing (0,0)
2 (blue)
$x=-3 \quad $solid line ( sign is $\geq )$,
... a vertical line passing through ($-3,0$)
Testing (0,0):$\quad 0\geq-3 \quad ?$
Yes, shade the region containing (0,0)
The solution set is the region with BOTH shadings
The solution set is the region shaded GRAY