Answer
please see image:
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Work Step by Step
The inequality $x-y \geq -1$
is graphed with a solid border line $x-y=-1$
which for x=$0$, y=1.
and for $y=0,\ x=-1$.
Draw a solid line through ($0,1)$ and $(-1,0).$
Test point: (0,0).$ \quad $Is $0-0 \geq -1?$
Yes, shade the region containing (0,0)
The inequality $5x-2y \leq 10$
is graphed with a solid border line $5x-2y = 10$
which for $x$=$0$, y=$-5,$
and for $y=0,\ x=2$.
Draw a solid line through ($0,-5)$ and $(2,0).$
Test point: (0,0).$ \quad $Is $5(0)-2(0) \leq 10?$
Yes, shade the region containing (0,0)
The solution set for this UNION is the region with EITHER shading.
