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\$

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

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