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

If A = {2, 5, 8, 11} and B = {1, 5, 9, 11}, what is (A ∪ B) − (A ∩ B)?

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Answer and explanation

Correct answer: {1, 2, 8, 9}

First find the union: A ∪ B = {1, 2, 5, 8, 9, 11}. The common elements are 5 and 11, so A ∩ B = {5, 11}. Removing these common elements from the union leaves {1, 2, 8, 9}. Thus the expression represents the elements belonging to exactly one of the two sets, and option B is correct.

Tags

setsunionintersectionsymmetric differenceOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 8, 9}

Why is this the correct answer?

First find the union: A ∪ B = {1, 2, 5, 8, 9, 11}. The common elements are 5 and 11, so A ∩ B = {5, 11}. Removing these common elements from the union leaves {1, 2, 8, 9}. Thus the expression represents the elements belonging to exactly one of the two sets, and option B 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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