The solution to this compound inequality is $\displaystyle{a}\ge-{5}\usepackage{cmbright}\Huge\$ and $\displaystyle{a}\le{3}\usepackage{cmbright}\Huge\$ . You may not have noticed that the graph on the number line does not include either of the values $\displaystyle-{5}\usepackage{cmbright}\Huge\$ or 3, so the correct solution must not include these values either.