Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/0e4643a4-4ec9-4bcf-b199-f4997ea5be69/result_image/1597823626.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013219Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=af93c7aeb41f88ed3aa60d7889093567570303c2e62775a2ba6ee16cf3f161b3)
Work Step by Step
Graph $y \geq -x + 5 $ and $-3x + y \leq - 4$.
The A region represents the solutions of $y \geq -x + 5 $
The B region represents the solutions of $-3x + y \leq - 4$
The C region represents the solutions of both inequalities.