Answer
Please see the graph, made using graphing software.
Work Step by Step
$x \geq -y$
To find the boundary line, replace the $\geq$ sign with the $=$ sign.
$x=-y$
Let $x=2$
$x=-y$
$2=-y$
$-2=y$
Let $x=-4$
$x=-y$
$-4=-y$
$4=y$
Let $x=5$
$x=-y$
$5=-y$
$-5=y$
$(2,-2), (-4,4)$, and $(5,-5)$ are on the line.
Use $(1,1)$ to determine what side of the line to shade.
$x \geq -y$
$1 \geq -1$ is a true statement, so we shade the side of the line with $(1,1)$.
