Correct. Find two points on the line $\displaystyle{y}=-\frac{{1}}{{2}}{x}-{2}\usepackage{cmbright}\Huge\$ . For example, find $\displaystyle{\left({0},-{2}\right)}\usepackage{cmbright}\Huge\$ and $\displaystyle{\left({2},-{3}\right)}\usepackage{cmbright}\Huge\$ . Plot the points and graph using a dashed line, because the inequality sign is $\displaystyle<\usepackage{cmbright}\Huge\$ . Test an ordered pair on either side of the boundary line.

For (0, 0): $\displaystyle{0}<-\frac{{1}}{{2}}{\left({0}\right)}-{2}\usepackage{cmbright}\Huge\$ or $\displaystyle{0}<-{2}\usepackage{cmbright}\Huge\$ FALSE

For $\displaystyle{\left(-{2},-{2}\right)}\usepackage{cmbright}\Huge\$ : $\displaystyle-{2}<-\frac{{1}}{{2}}{\left(-{2}\right)}-{2}\usepackage{cmbright}\Huge\$ or $\displaystyle-{2}<-{1}\usepackage{cmbright}\Huge\$ TRUE

The region that includes $\displaystyle{\left(-{2},-{2}\right)}\usepackage{cmbright}\Huge\$ should be shaded.