Question

solve the absolute value inequality.
|x| < 9

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set in interval notation is .
(simplify your answer.)
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, \(a = 9\), so we apply this rule.

Step2: Write the inequality and convert to interval notation

From \(|x| < 9\), we get \(-9 < x < 9\). In interval notation, this is \((-9, 9)\).

Answer:

A. The solution set in interval notation is \((-9, 9)\).