Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The inequality \(|x| > 4\) is equivalent to:
Options
A \(-4 < x < 4\)
B \(x > 4 \text{ or } x < -4\)
Correct Answer
C \(x \geq 4\)
D \(x \leq -4\)
Correct Answer

Option B is the correct answer.

Detailed Explanation

(|x| > 4) means distance from 0 is greater than 4, so (x > 4) or (x < -4).

Hint

Recall: \(|x| > a\) implies \(x > a\) or \(x < -a\).

Question Info