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 \( x \leq -2 \) 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. Solving the first: 2x ≥ 2 => x ≥ 1. Solving the second: 2x ≤ -4 => x ≤ -2. So the solution is x ≤ -2 or x ≥ 1.

Hint

For |expression| ≥ a, split into expression ≥ a or expression ≤ -a.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 527 of 696
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