The boundary lines $\displaystyle{y}=-{3}\usepackage{cmbright}\Huge\$ and $\displaystyle{y}=-{2}{x}+{4}\usepackage{cmbright}\Huge\$ are drawn as dashed, because both inequalities use the $\displaystyle>\usepackage{cmbright}\Huge\$ sign. The solution to $\displaystyle{y}>-{3}\usepackage{cmbright}\Huge\$ is shown in blue and the solution to $\displaystyle{y}>-{2}{x}+{4}\usepackage{cmbright}\Huge\$ is shown in orange. The solution to the system is the overlap region, shown in purple. You can check this by substituting the point $\displaystyle{\left({4},{0}\right)}\usepackage{cmbright}\Huge\$ into the inequalities: $\displaystyle{0}>-{3}\usepackage{cmbright}\Huge\$ and $\displaystyle{0}>-{2}{\left({4}\right)}+{4}\usepackage{cmbright}\Huge\$ are both true.