Work Step by Step
We are given that $|x|>1$ So $x\gt1$ or $x\lt-1$. The solution set for x is all numbers that are greater than 1 unit in distance from 0 on the number line. Therefore, the solution set consists of all numbers less than -1 and greater than 1. The solution set is $(-∞,-1)U(1,∞)$ in interval notation.