How do you solve and write the following in interval notation:  | x | ≤ 3?

Jan 25, 2017

The answer is $x \in \left[- 3 , 3\right]$

Explanation:

$| x | \le 3$

The first solution is $x \le 3$

The second solution is $- x \le 3$, $\implies$, $x \ge - 3$

Therefore,

$- 3 \le x \le 3$

and in interval notation

$x \in \left[- 3 , 3\right]$