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Class 12MathematicsSetsMediumLevel 18
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If A \ B = A, which statement is always true?

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Answer and explanation

Correct answer: A ∩ B = ∅

The set difference A \ B contains elements that are in A but not in B. If removing all elements of B from A leaves A unchanged, then no element of A can belong to B. Therefore, A and B are disjoint, so A ∩ B = ∅. The other statements are not forced by the given condition and may be false.

Related tags

SetsSet DifferenceDisjoint SetsIntersectionLogical ReasoningMathematicsClass 12 Mcq

Frequently asked questions

What is the correct answer to this question?

A ∩ B = ∅

Why is this the correct answer?

The set difference A \ B contains elements that are in A but not in B. If removing all elements of B from A leaves A unchanged, then no element of A can belong to B. Therefore, A and B are disjoint, so A ∩ B = ∅. The other statements are not forced by the given condition and may be false.

Which subject and chapter does this question cover?

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

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