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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: B ⊆ A

The union A ∪ B contains every element of A together with every element of B. If this union is exactly A, adding B has introduced no new element. Therefore every element of B must already belong to A, which means B ⊆ A. The other statements do not necessarily follow from the given equality.

Tags

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

Frequently asked questions

What is the correct answer to this question?

B ⊆ A

Why is this the correct answer?

The union A ∪ B contains every element of A together with every element of B. If this union is exactly A, adding B has introduced no new element. Therefore every element of B must already belong to A, which means B ⊆ A. The other statements do not necessarily follow from the given equality.

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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