Question

part 3 of 5
graph the solution set for |x| > 3.
number line with -13 to 13, open circles at 3 and -3, arrows
part: 3 / 5
part 4 of 5
(c) the solution set for |x| < 3 is □.
interval notation options: (□,□), □,□, (□,□, □,□), ∞, -∞

Explanation:

Step1: Recall absolute value inequality

The inequality \(|x| < a\) (where \(a>0\)) is equivalent to \(-a < x < a\).

Step2: Apply to given inequality

For \(|x| < 3\), using the above rule, we substitute \(a = 3\). So we get \(-3 < x < 3\). In interval notation, this is \((-3, 3)\).

Answer:

\((-3, 3)\)