First simplify by dividing both sides of the inequality by $\displaystyle-{2}\usepackage{cmbright}\Huge\$ . This will reverse the inequality sign and give you $\displaystyle{\left|{n}+{6}\right|}<-{2}\usepackage{cmbright}\Huge\$ . If $\displaystyle{\left|{n}+{6}\right|}\usepackage{cmbright}\Huge\$ is less than $\displaystyle-{2}\usepackage{cmbright}\Huge\$ , then it must be negative. However, an absolute value can never be a negative number, so there is no solution to the inequality.