You may have correctly simplified to $\displaystyle{\left|{4}{w}+{2}\right|}>{14}\usepackage{cmbright}\Huge\$ , but then only found the solution to $\displaystyle{4}{w}+{2}>{14}\usepackage{cmbright}\Huge\$ . When you rewrite the inequality without absolute value you should also get $\displaystyle{4}{w}+{2}<-{14}\usepackage{cmbright}\Huge\$ , which you must solve.