Question

what is another way to write the absolute value inequality |p| ≤ 12?
-12 ≤ p ≤ 12
-12 ≥ p ≤ 12
-12 ≤ p or p ≤ 12
-12 ≥ p or p ≤ 12

Explanation:

Step1: Recall absolute - value inequality rule

The absolute - value inequality \(|x|\leq a\) (\(a\geq0\)) is equivalent to \(-a\leq x\leq a\).
In the given inequality \(|p|\leq12\), where \(x = p\) and \(a = 12\).

Step2: Apply the rule

We get \(-12\leq p\leq12\).

Answer:

A. \(-12\leq p\leq12\)