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Class 12MathematicsSetsMediumLevel 16
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If A ⊆ B', which statement is correct?

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Answer and explanation

Correct answer: A ∩ B = ∅

The statement A ⊆ B' means that every element of A belongs to the complement of B. Therefore no element of A can belong to B at the same time. The common part of A and B is consequently empty, so A ∩ B = ∅. The condition does not say that A equals B', nor does it imply that either set is empty or that B is a subset of A.

Related tags

SetsComplementDisjoint-SetsSubsetsMathematicsClass 12 Mcq

Frequently asked questions

What is the correct answer to this question?

A ∩ B = ∅

Why is this the correct answer?

The statement A ⊆ B' means that every element of A belongs to the complement of B. Therefore no element of A can belong to B at the same time. The common part of A and B is consequently empty, so A ∩ B = ∅. The condition does not say that A equals B', nor does it imply that either set is empty or that B is a subset of A.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Sets.

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