Answer
The graph is shown below.
Work Step by Step
The given system of linear inequalities is.
$\Rightarrow x+3y\gt 6$ ...... (1)
$\Rightarrow 2x+y\lt 7$ ...... (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 $(2,2)$.