You may have tried to divide both sides of the inequality by 4 while ignoring the $\displaystyle-{4}\usepackage{cmbright}\Huge\$ term. This would result in the incorrect inequality $\displaystyle{\left|{m}-{5}\right|}-{4}<{5}\usepackage{cmbright}\Huge\$ . Instead, you should add 4 to both sides as your first step, and then divide by 4. This will give you $\displaystyle{\left|{m}-{5}\right|}<{6}\usepackage{cmbright}\Huge\$ . Rewrite this without absolute value and solve the compound inequality. The correct answer is $\displaystyle-{1}<{m}<{11}\usepackage{cmbright}\Huge\$ .