Answer
see graph
Work Step by Step
Using the intercepts and the test point $(5,0)$, the red graph is the graph of $
4x-y\le0
.$
Using the intercepts and the test point $(0,0)$, the blue graph is the graph of $
3x-2y\ge-5
.$
The green graph is the graph of $
y\ge-4
.$
The solution set is the area common to all graphs (darkest shade).