If U = {x ∈ ℕ : x ≤ 10} and A = {x ∈ U : x is even}, what is Aᶜ?
Answer and explanation
Correct answer: {1, 3, 5, 7, 9}
Using the usual school convention ℕ = {1,2,3,...}, the universal set is U = {1,2,3,4,5,6,7,8,9,10}. The even elements form A = {2,4,6,8,10}. The complement relative to U consists of the remaining elements, which are precisely the odd numbers {1,3,5,7,9}. Hence option B is correct; option A is A itself.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 5, 7, 9}
Why is this the correct answer?
Using the usual school convention ℕ = {1,2,3,...}, the universal set is U = {1,2,3,4,5,6,7,8,9,10}. The even elements form A = {2,4,6,8,10}. The complement relative to U consists of the remaining elements, which are precisely the odd numbers {1,3,5,7,9}. Hence option B is correct; option A is A itself.
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.
