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

If A = {1, 2, 3, 4, 5, 6}, B = {2, 5, 8}, and C = {1, 5, 6, 9}, what is A \ (B ∪ C)?

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Answer and explanation

Correct answer: {3, 4}

First form the union B ∪ C = {1, 2, 5, 6, 8, 9}. The difference A \ (B ∪ C) consists of elements that belong to A but do not belong to this union. From A, the elements 1, 2, 5, and 6 must be removed; 3 and 4 remain. Therefore A \ (B ∪ C) = {3, 4}, making option A correct.

Tags

setsset-differenceunionoperations-on-setsOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{3, 4}

Why is this the correct answer?

First form the union B ∪ C = {1, 2, 5, 6, 8, 9}. The difference A \ (B ∪ C) consists of elements that belong to A but do not belong to this union. From A, the elements 1, 2, 5, and 6 must be removed; 3 and 4 remain. Therefore A \ (B ∪ C) = {3, 4}, making option A 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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