Answer
Please see the graph.
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.