Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/0835eddd-2e2a-4543-a919-5ff6135dc5e2/result_image/1594473684.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T022046Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=e32243837019d1bb07a2ed3e718cba2258847138743c0a4c098875533bd38449)
Work Step by Step
We are given $-2x+y \geq 3$
Graph $-2x+y=3$ using a solid line. Use $(0, 0)$ as a test point.
$-2x+y \geq 3$
$-2(0)+0 \geq 3$
Shade on the left side of the line that contains $(0, 0)$.
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