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

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

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Answer and explanation

Correct answer: ∅

First calculate the difference B \ A, which contains elements of B that are not in A. Since 3 and 4 are already in A, B \ A = {5,6}. Now intersect {5,6} with A = {1,2,3,4}. There are no common elements, so A ∩ (B \ A) = ∅. Option C is only the difference, not the final intersection.

Tags

setsintersectionset-differenceempty-setOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

∅

Why is this the correct answer?

First calculate the difference B \ A, which contains elements of B that are not in A. Since 3 and 4 are already in A, B \ A = {5,6}. Now intersect {5,6} with A = {1,2,3,4}. There are no common elements, so A ∩ (B \ A) = ∅. Option C is only the difference, not the final intersection.

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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