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Class 10MathematicsSetsVenn DiagramsEasyLevel 15

If A ∪ B = A, which relation between A and B is correct?

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Answer and explanation

Correct answer: B ⊆ A

The union A ∪ B contains every element from both A and B. If this union is exactly A, then adding the elements of B contributes nothing new; every element of B must already be in A. Therefore, B ⊆ A. The other relations are not necessarily true, so option B is the unique correct answer.

Tags

setsunionsubsetsvenn-diagramsVenn DiagramsMathematicsClass 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 from both A and B. If this union is exactly A, then adding the elements of B contributes nothing new; every element of B must already be in A. Therefore, B ⊆ A. The other relations are not necessarily true, so option B is the unique correct answer.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.

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