Answer
Please see the graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7d60f4f7-4924-4b27-b260-ad61c0708f22/result_image/1533418705.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021939Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=9cc2e8c69c57f546505a62dd0435f5b1f306f2cc47faf6b40cdcec9edc571cc4)
Work Step by Step
The graph was created using graphing software.
Do we shade the side of the line with the origin?
$3y+x > 4$
$3*0 + 0 > 4$
$0 + 0 > 4$
$0 > 4$ (false)
No, we shade the side of the line where the origin is not in the solution set.