Answer
The graph is shown below.
Work Step by Step
The given inequality is
$3x-y\geq5$
Graph $3x-y=5$. Use a solid line because the inequality symbol is $ \geq$.
Test $(0,0)$.
$\Rightarrow 3x-y\geq 5$
$\Rightarrow 3(0)-0\geq 5$
$\Rightarrow 0-0\geq 5$
$\Rightarrow 0\geq 5$
Hence, $(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
