If (A\cap B=A) and (A\neq \varnothing), which relation is correct?
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Answer and explanation
Correct answer: (A\subseteq B)
The intersection A∩B contains exactly the elements common to A and B. If this intersection equals A, then every element of A must also lie in B. Therefore A is contained in B, so A⊆B. The condition A≠∅ is not needed for the implication, but it confirms that A is nonempty.
Frequently asked questions
What is the correct answer to this question?
(A\subseteq B)
Why is this the correct answer?
The intersection A∩B contains exactly the elements common to A and B. If this intersection equals A, then every element of A must also lie in B. Therefore A is contained in B, so A⊆B. The condition A≠∅ is not needed for the implication, but it confirms that A is nonempty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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