Subtract 4 from both sides of the inequality: $\displaystyle{\left|{2}{w}-{5}\right|}>{9}\usepackage{cmbright}\Huge\$

Rewrite without absolute value: $\displaystyle{2}{w}-{5}>{9}\usepackage{cmbright}\Huge\$ or $\displaystyle{2}{w}-{5}<-{9}\usepackage{cmbright}\Huge\$

Add 5 to both sides of both inequalities: $\displaystyle{2}{w}>{14}\usepackage{cmbright}\Huge\$ or $\displaystyle{2}{w}<-{4}\usepackage{cmbright}\Huge\$

Divide both sides of both inequalities by 2: $\displaystyle{w}>{7}\usepackage{cmbright}\Huge\$ or $\displaystyle{w}<-{2}\usepackage{cmbright}\Huge\$