If U = {1, 2, 3, 4, 5} and A = {1, 2, 3, 4, 5}, how many elements are in A'?
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Answer and explanation
Correct answer: 0
The complement of A in U is A' = U \ A, meaning the elements of U that are not in A. Here A and U are exactly the same set, so there are no elements of U left after removing A. Therefore A' = ∅, and the empty set has zero elements. Hence the correct answer is 0.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The complement of A in U is A' = U \ A, meaning the elements of U that are not in A. Here A and U are exactly the same set, so there are no elements of U left after removing A. Therefore A' = ∅, and the empty set has zero elements. Hence the correct answer is 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
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