If A=B, then in a Venn diagram, what is A∪B equal to?
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Answer and explanation
Correct answer: A
Since A and B are identical, their union contains exactly the elements already present in either one of them. Thus A∪B=A∪A. The idempotent law of union states that X∪X=X, so A∪B=A. The empty set is not implied, and A′ and U\A are complements rather than the original set. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
A
Why is this the correct answer?
Since A and B are identical, their union contains exactly the elements already present in either one of them. Thus A∪B=A∪A. The idempotent law of union states that X∪X=X, so A∪B=A. The empty set is not implied, and A′ and U\A are complements rather than the original set. 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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