If the universal set U = {a, b, c, d, e} and A = {b, d}, what is A′?
Answer and explanation
Correct answer: {a, c, e}
The complement A′ contains exactly those elements of the universal set U that are not elements of A. Therefore, A′ = U − A. Starting with U = {a, b, c, d, e}, remove b and d because they belong to A. The elements left are a, c, and e, so A′ = {a, c, e}. Option B is A itself, option C is the entire universal set, and option D would occur only if A were equal to U.
Frequently asked questions
What is the correct answer to this question?
{a, c, e}
Why is this the correct answer?
The complement A′ contains exactly those elements of the universal set U that are not elements of A. Therefore, A′ = U − A. Starting with U = {a, b, c, d, e}, remove b and d because they belong to A. The elements left are a, c, and e, so A′ = {a, c, e}. Option B is A itself, option C is the entire universal set, and option D would occur only if A were equal to U.
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.
