It seems that you divided both sides of the inequality by 4, instead of $\displaystyle-{4}\usepackage{cmbright}\Huge\$ , and you solved $\displaystyle{\left|{n}-{5}\right|}>{3}\usepackage{cmbright}\Huge\$ . If you do the correct division you will get $\displaystyle{\left|{n}-{5}\right|}<-{3}\usepackage{cmbright}\Huge\$ .