If A ∩ B = A, which relation between A and B is correct?
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Answer and explanation
Correct answer: A ⊆ B
The equality A ∩ B = A says that intersecting B with A leaves all of A unchanged. This can happen only when every element of A is also contained in B. Therefore, A is a subset of B, written A ⊆ B. The other options do not follow from the given condition and may hold only in special cases.
Frequently asked questions
What is the correct answer to this question?
A ⊆ B
Why is this the correct answer?
The equality A ∩ B = A says that intersecting B with A leaves all of A unchanged. This can happen only when every element of A is also contained in B. Therefore, A is a subset of B, written A ⊆ B. The other options do not follow from the given condition and may hold only in special cases.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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