Answer
The graph is shown below.
Work Step by Step
The given inequality is
$x+y\leq-4$
Graph $x+y=-4$. Use a solid line because the inequality symbol is $ \leq$.
Test $(0,0)$.
$\Rightarrow x+y\leq-4$
$\Rightarrow 0+0\leq-4$
$\Rightarrow 0\leq-4$
Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
