Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

The solution set of \(|2x+1| \geq 3\) is:
Options
A \(x \geq 1\)
B \(x \leq -2 \text{ or } x \geq 1\)
Correct Answer
C \(-2 \leq x \leq 1\)
D \(x \leq -1\)
Correct Answer

Option B is the correct answer.

Detailed Explanation

|2x+1| ≥ 3 means 2x+1 ≥ 3 or 2x+1 ≤ -3 ⇒ 2x ≥ 2 or 2x ≤ -4 ⇒ x ≥ 1 or x ≤ -2.

Hint

Split into two inequalities: expression ≥ a or expression ≤ -a.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 616 of 696
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