What type of set is C = {x : x ∈ N, x is odd and x > 10}?
Answer and explanation
Correct answer: Infinite set
The conditions require x to be a natural number, odd, and greater than 10. The elements therefore begin as 11, 13, 15, 17, 19, and so on. There is always another odd natural number greater than the previous one, so the list never ends. Hence C has infinitely many elements and is an infinite set. Therefore, option C is correct.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The conditions require x to be a natural number, odd, and greater than 10. The elements therefore begin as 11, 13, 15, 17, 19, and so on. There is always another odd natural number greater than the previous one, so the list never ends. Hence C has infinitely many elements and is an infinite set. Therefore, option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
