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

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

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Answer and explanation

Correct answer: {1, 2, 3, 5}

First calculate B ∩ C. The elements common to B = {2, 4, 6, 8} and C = {1, 4, 6, 9} are 4 and 6, so B ∩ C = {4, 6}. Set difference A \ (B ∩ C) keeps the elements of A that are not in {4, 6}. Removing 4 and 6 from A leaves {1, 2, 3, 5}. Therefore option A is correct.

Tags

setsintersectionset differencefinite setsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 3, 5}

Why is this the correct answer?

First calculate B ∩ C. The elements common to B = {2, 4, 6, 8} and C = {1, 4, 6, 9} are 4 and 6, so B ∩ C = {4, 6}. Set difference A \ (B ∩ C) keeps the elements of A that are not in {4, 6}. Removing 4 and 6 from A leaves {1, 2, 3, 5}. 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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