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