You solved $\displaystyle{\left|{2}{w}-{5}\right|}+{4}<{13}\usepackage{cmbright}\Huge\$ , instead of $\displaystyle{\left|{2}{w}-{5}\right|}+{4}>{13}\usepackage{cmbright}\Huge\$ . You should first simplify to $\displaystyle{\left|{2}{w}-{5}\right|}>{9}\usepackage{cmbright}\Huge\$ and then rewrite without absolute value as $\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\$ .