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Subjects
Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)EasyLevel 17

If A = {1, 2, 3, 4, 5}, B = {2, 4}, and C = {5, 6}, what is A − (B ∪ C)?

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Answer and explanation

Correct answer: {1, 3}

First calculate the expression inside the parentheses: B ∪ C = {2, 4, 5, 6}. Now A − (B ∪ C) contains the elements of A that are not in this union. From A = {1, 2, 3, 4, 5}, remove 2, 4, and 5; the element 6 is irrelevant because it is not in A. The result is {1, 3}, so option A is correct.

Tags

setsdifferenceunioncompound set operationsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 3}

Why is this the correct answer?

First calculate the expression inside the parentheses: B ∪ C = {2, 4, 5, 6}. Now A − (B ∪ C) contains the elements of A that are not in this union. From A = {1, 2, 3, 4, 5}, remove 2, 4, and 5; the element 6 is irrelevant because it is not in A. The result is {1, 3}, so 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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