If U = N and A = {x : x is an even natural number}, what does A′ represent?
Answer and explanation
Correct answer: All odd natural numbers
A complement is always determined relative to the stated universal set. Here U is the set of natural numbers, and A contains the even natural numbers. Removing all even natural numbers from N leaves exactly the odd natural numbers, such as 1, 3, 5, 7, and so on. Therefore, A′ represents all odd natural numbers.
Frequently asked questions
What is the correct answer to this question?
All odd natural numbers
Why is this the correct answer?
A complement is always determined relative to the stated universal set. Here U is the set of natural numbers, and A contains the even natural numbers. Removing all even natural numbers from N leaves exactly the odd natural numbers, such as 1, 3, 5, 7, and so on. Therefore, A′ represents all odd natural numbers.
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.
