#### Answer

The graph is shown below.

#### Work Step by Step

The given inequality is
$5x-2y\leq6$
Graph $5x-2y=6$. Use a solid line because the inequality symbol is $ \leq$.
Test $(0,0)$.
$\Rightarrow 5x-2y\leq 6$
$\Rightarrow 5(0)-2(0)\leq 6$
$\Rightarrow 0-0\leq 6$
$\Rightarrow 0\leq 6$
Hence, $(0,0)$ is a solution, shade the half-plane that contains $(0,0)$.