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

If only the B region is shaded, how can it be represented in set notation?

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Answer and explanation

Correct answer: A′ ∩ B

Only B consists of elements that are in B but not in A. The complement A′ represents elements outside A, and intersecting it with B gives A′ ∩ B. This is equivalent to B − A. A − B is only A, A ∩ B is the common region, and A ∪ B includes both sets. Hence option C is correct.

Tags

setsvenn-diagramsset-differencecomplementset-notationOperations on Sets (UnionIntersectionDifference)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 B consists of elements that are in B but not in A. The complement A′ represents elements outside A, and intersecting it with B gives A′ ∩ B. This is equivalent to B − A. A − B is only A, A ∩ B is the common region, and A ∪ B includes both sets. Hence option C 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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