If A = ∅ and the universal set U = {2, 4, 6}, what is A′?
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Answer and explanation
Correct answer: {2, 4, 6}
The complement of A relative to U is defined as A′ = U \ A, meaning all elements of U that are not in A. Since A is empty, none of the elements of U are removed. Therefore A′ = U = {2, 4, 6}. Option A is A itself, option C contains an element not in U, and option D is a power set rather than a complement.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6}
Why is this the correct answer?
The complement of A relative to U is defined as A′ = U \ A, meaning all elements of U that are not in A. Since A is empty, none of the elements of U are removed. Therefore A′ = U = {2, 4, 6}. Option A is A itself, option C contains an element not in U, and option D is a power set rather than a complement.
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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