Answer
$y \lt \frac{1}{3}x -2$
Work Step by Step
The slope of the line is $\frac{1}{3}$ and the y-intercept is $-2$, so the equation of the boundary line is $y = \frac{1}{3}x -2$. The boundary line is dashed, so the inequality symbol is either $\lt$ or $\gt$. The symbol must be $\lt$, because the region below the boundary line is shaded. The inequality is $y \lt \frac{1}{3}x -2$.
