Add 4 to both sides of the inequality: $\displaystyle{4}{\left|{m}-{5}\right|}<{24}\usepackage{cmbright}\Huge\$

Divide both sides by 4: $\displaystyle{\left|{m}-{5}\right|}<{6}\usepackage{cmbright}\Huge\$

Rewrite without absolute value: $\displaystyle-{6}<{m}-{5}<{6}\usepackage{cmbright}\Huge\$

Add 5 to all 3 parts: $\displaystyle-{1}<{m}<{11}\usepackage{cmbright}\Huge\$