Question

Solve the inequality. Graph the solution. 2∣∣x+13∣∣<9

Answer 1

`2\left||x+13|\right|<9\qquad\text{divide both sides by 2}\\\\||x+13||<4.5\iff|x+13|<4.5\iff x+13<4.5\ and\ x+13>-4.5\\\\\text{add 13 to both sides}\\\\\boxed{x<17.5\ and\ x>8.5}`