Question

1. solve the inequality: |r| < 4

a. -4 < r < 4
b. -4 ≤ r ≤ 4
c. -6 < r < 2
d. r < -6 or r > 2

Explanation:

Step1: Recall absolute value inequality rule

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

Step2: Apply the rule to \(|r| < 4\)

Here, \(x = r\) and \(a = 4\). So applying the rule, we get \(-4 < r < 4\).

Answer:

A. \(-4 < r < 4\)