What type of set is N = {1, 2, 3, 4, …}?
Answer and explanation
Correct answer: Infinite set
The ellipsis symbol (…) indicates that the sequence continues without an ending. The natural numbers 1, 2, 3, 4, and so on have no greatest member, so their collection cannot be completely counted to a final element. Therefore, N is an infinite set. It is neither empty nor a singleton, and it is not finite because the list does not terminate.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The ellipsis symbol (…) indicates that the sequence continues without an ending. The natural numbers 1, 2, 3, 4, and so on have no greatest member, so their collection cannot be completely counted to a final element. Therefore, N is an infinite set. It is neither empty nor a singleton, and it is not finite because the list does not terminate.
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.
