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

If A ∪ B = A, which statement about B is correct?

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Answer and explanation

Correct answer: B ⊆ A

The equality A ∪ B = A means that adding every element of B to A introduces no new element. Therefore, each element of B must already belong to A, which is exactly the definition of B ⊆ A. The sets need not be equal, disjoint, or complements; B may be a proper subset of A or may equal A.

Tags

setssubsetunionset-inclusionOperations 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 equality A ∪ B = A means that adding every element of B to A introduces no new element. Therefore, each element of B must already belong to A, which is exactly the definition of B ⊆ A. The sets need not be equal, disjoint, or complements; B may be a proper subset of A or may equal 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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