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Class 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)MediumLevel 16

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is A \ (B ∪ C)?

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Answer and explanation

Correct answer: {3, 5}

First find the union B ∪ C. Combining B = {2, 4, 6} and C = {1, 4, 7} gives B ∪ C = {1, 2, 4, 6, 7}. The difference A \ (B ∪ C) consists of elements that are in A but not in this union. Removing 1, 2, and 4 from A = {1, 2, 3, 4, 5} leaves {3, 5}. Therefore, option A is correct.

Tags

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

Frequently asked questions

What is the correct answer to this question?

{3, 5}

Why is this the correct answer?

First find the union B ∪ C. Combining B = {2, 4, 6} and C = {1, 4, 7} gives B ∪ C = {1, 2, 4, 6, 7}. The difference A \ (B ∪ C) consists of elements that are in A but not in this union. Removing 1, 2, and 4 from A = {1, 2, 3, 4, 5} leaves {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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