Add 6 to both sides of the inequality: $\displaystyle{\left|{4}{w}-{2}\right|}>{14}\usepackage{cmbright}\Huge\$

Rewrite without absolute value: $\displaystyle{4}{w}-{2}>{14}\usepackage{cmbright}\Huge\$ or $\displaystyle{4}{w}-{2}<-{14}\usepackage{cmbright}\Huge\$

Add 2 to both sides of both inequalities: $\displaystyle{4}{w}>{16}\usepackage{cmbright}\Huge\$ or $\displaystyle{4}{w}<-{12}\usepackage{cmbright}\Huge\$

Divide both sides of both inequalities by 4: $\displaystyle{w}>{4}\usepackage{cmbright}\Huge\$ or $\displaystyle{w}<-{3}\usepackage{cmbright}\Huge\$