Answer
The error is shaded graph.
The correct graph is shown below.
Work Step by Step
The given inequality is
$y\leq 3x-2$
Graph $y=3x-2$. Use a solid line because the inequality symbol is $ \leq$.
Test $(0,0)$.
$\Rightarrow y\leq 3x-2$
$\Rightarrow 0\leq 3(0)-2$
$\Rightarrow 0\leq 0-2$
$\Rightarrow 0\leq -2$
$(0,0)$ is not a solution, shade the half-plane that does not contain $(0,0)$.
Hence, the error is shaded graph.
