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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 15

If only the A region is shaded, how is it written in set notation?

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Answer and explanation

Correct answer: A ∩ B′

Only A means the elements must be inside A and outside B. The part outside B is B′, so the required region is A ∩ B′. This is also written as A − B. A ∩ B is the overlap, A′ ∩ B is only B, and A ∪ B′ includes additional regions, so option B is correct.

Tags

setsvenn-diagramsset-differenceintersectioncomplementOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

A ∩ B′

Why is this the correct answer?

Only A means the elements must be inside A and outside B. The part outside B is B′, so the required region is A ∩ B′. This is also written as A − B. A ∩ B is the overlap, A′ ∩ B is only B, and A ∪ B′ includes additional regions, so option B 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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