You may have mistakenly added 4 to $\displaystyle{2}{w}-{5}\usepackage{cmbright}\Huge\$ and then solved $\displaystyle{\left|{2}{w}-{1}\right|}>{13}\usepackage{cmbright}\Huge\$ . This is an incorrect order of operations. Instead, you should simplify by subtracting 4 from both sides of the inequality to get $\displaystyle{\left|{2}{w}-{5}\right|}>{9}\usepackage{cmbright}\Huge\$ . Then rewrite this without absolute value and solve $\displaystyle{2}{w}-{5}>{9}\usepackage{cmbright}\Huge\$ or $\displaystyle{2}{w}-{5}<-{9}\usepackage{cmbright}\Huge\$ . The correct answer is $\displaystyle{w}>{7}\usepackage{cmbright}\Huge\$ or $\displaystyle{w}<-{2}\usepackage{cmbright}\Huge\$ .