Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

If \(A \cup B = A \cap B\), then:
Options
A \(A = B\)
Correct Answer
B \(A \cap B = \emptyset\)
C \(A = \emptyset\)
D \(B = \emptyset\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

A ∪ B = A ∩ B implies every element in A ∪ B is in both A and B. This forces A = B.

Hint

Draw a Venn diagram: the only way the union equals the intersection is if the sets are identical.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 620 of 696
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