Work Step by Step
We are given that $|x|\leq3$ So $x\leq3$ or $x\leq-3$. The solution set for x is all numbers that are less than or equal to 3 units in distance from 0 on the number line. Therefore, the solution set consists of -3, 3 and all numbers between -3 and 3. The solution set is [-3,3] in interval notation.