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

If n(A − B) = 28 and n(A ∩ B) = 16, what is n(A)?

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Answer and explanation

Correct answer: 44

Every element of A belongs either to A − B or to A ∩ B. These two parts are disjoint: an element cannot be outside B and simultaneously inside B. Thus A is partitioned into the two given parts, so n(A) = n(A − B) + n(A ∩ B) = 28 + 16 = 44. Therefore, option A is correct.

Tags

setsset differenceintersectioncardinalitypartitionOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematics

Frequently asked questions

What is the correct answer to this question?

44

Why is this the correct answer?

Every element of A belongs either to A − B or to A ∩ B. These two parts are disjoint: an element cannot be outside B and simultaneously inside B. Thus A is partitioned into the two given parts, so n(A) = n(A − B) + n(A ∩ B) = 28 + 16 = 44. Therefore, 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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