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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 16

If A ∩ B = A, which relation is correct?

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Answer and explanation

Correct answer: A ⊆ B

The intersection A ∩ B contains exactly the elements common to A and B. If the intersection equals all of A, then every element of A must also be present in B. This is precisely the definition of A being a subset of B, so A ⊆ B. The equality does not require B to be empty or equal to A.

Tags

setssubsetintersection reasoningOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A ⊆ B

Why is this the correct answer?

The intersection A ∩ B contains exactly the elements common to A and B. If the intersection equals all of A, then every element of A must also be present in B. This is precisely the definition of A being a subset of B, so A ⊆ B. The equality does not require B to be empty or equal to A.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

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