Answer
The graph is shown below.
Work Step by Step
The given system of linear inequalities is.
$\Rightarrow x+y\gt 4$ ...... (1)
$\Rightarrow y\geq \frac{3}{2}x-9$ ...... (2)
Graph each inequality.
The intersection of the half-planes that are solutions of the inequalities is the graph of the system.
One solution of the system is $(4,2)$.