Question

solve the following inequality, and graph the solution set.
$|x| < 3$
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is .
(type your answer in interval notation.)
b. the solution set is $\emptyset$.

Explanation:

Step1: Rewrite absolute value inequality

For $|x| < a$ where $a>0$, it is equivalent to $-a < x < a$. Here $a=3$, so:
$-3 < x < 3$

Step2: Convert to interval notation

Interval notation for $-3 < x < 3$ uses open parentheses since the endpoints are not included.

Answer:

A. The solution set is $(-3, 3)$