Correct. Solve for y: $\displaystyle-{2}{y}>-{3}{x}+{8}\usepackage{cmbright}\Huge\$ , so $\displaystyle{y}<\frac{{3}}{{2}}{x}-{4}\usepackage{cmbright}\Huge\$ . Find two points on $\displaystyle{y}=\frac{{3}}{{2}}{x}-{4}\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{{3}}{{2}}{\left({0}\right)}-{4}\usepackage{cmbright}\Huge\$ or $\displaystyle{0}<-{4}\usepackage{cmbright}\Huge\$ FALSE

For $\displaystyle{\left({4},-{3}\right)}\usepackage{cmbright}\Huge\$ : $\displaystyle-{3}<\frac{{3}}{{2}}{\left({4}\right)}-{4}\usepackage{cmbright}\Huge\$ or $\displaystyle-{3}<{2}\usepackage{cmbright}\Huge\$ TRUE

The region that includes $\displaystyle{\left({4},-{3}\right)}\usepackage{cmbright}\Huge\$ should be shaded.