Question

solve the following inequality, and graph the solution set. |x| < 6 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 ∅.

Explanation:

Step1: Recall absolute value inequality rule

For \(|x| < a\) (where \(a>0\)), the solution is \(-a < x < a\). Here, \(a = 6\), so we have \(-6 < x < 6\).

Step2: Write in interval notation

The interval notation for \(-6 < x < 6\) is \((-6, 6)\).

Answer:

A. The solution set is \((-6, 6)\)