Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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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

The absolute value inequality |x| > a (where a > 0) means the distance of x from 0 is greater than a, so x is either greater than a or less than -a. Therefore, |x| > 4 is equivalent to x > 4 or x < -4.

Hint

Recall the definition of absolute value: |x| > a implies x > a or x < -a.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 504 of 696
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