You may have mistakenly subtracted 6 from $\displaystyle{4}{w}-{2}\usepackage{cmbright}\Huge\$ and then solved $\displaystyle{\left|{4}{w}-{8}\right|}>{8}\usepackage{cmbright}\Huge\$ . This is an incorrect order of operations. Instead, you should simplify by adding 6 to both sides of the inequality to get $\displaystyle{\left|{4}{w}-{2}\right|}>{14}\usepackage{cmbright}\Huge\$ . Then rewrite this without absolute value and solve the compound inequality.