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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 18

Which option represents the set equal to A − (A ∩ B)?

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Answer and explanation

Correct answer: A − B

A − (A ∩ B) consists of elements that are in A but not in the intersection A ∩ B. An element of A is excluded from A ∩ B precisely when it is not in B. Therefore, the remaining elements are those in A but outside B, which is A − B. Equivalently, A − (A ∩ B) = A ∩ Bᶜ = A − B. Option A is correct.

Tags

setsset-differenceintersectionset-identitiesOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A − B

Why is this the correct answer?

A − (A ∩ B) consists of elements that are in A but not in the intersection A ∩ B. An element of A is excluded from A ∩ B precisely when it is not in B. Therefore, the remaining elements are those in A but outside B, which is A − B. Equivalently, A − (A ∩ B) = A ∩ Bᶜ = A − B. Option A is correct.

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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