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Subjects

Which expression is equal to (A ∪ B) − A?

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Answer and explanation

Correct answer: B − A

The union A ∪ B contains all elements from A and B. Removing A eliminates every element that belongs to A, including the common elements A ∩ B. What remains are precisely the elements that belong to B but not to A, which is B − A. Therefore, (A ∪ B) − A = B − A, so option B is correct.

Tags

setsunionset-differenceset-identitiesOperations on Sets (UnionIntersectionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

B − A

Why is this the correct answer?

The union A ∪ B contains all elements from A and B. Removing A eliminates every element that belongs to A, including the common elements A ∩ B. What remains are precisely the elements that belong to B but not to A, which is B − A. Therefore, (A ∪ B) − A = B − A, so 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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