What type of set is the set of positive integers greater than 100?
Answer and explanation
Correct answer: Infinite set
The set is {101, 102, 103, ...}. After every listed positive integer, another larger positive integer exists, so the sequence never reaches a final element. Consequently, the elements cannot be completely counted or listed in a finite list. The set therefore has infinitely many elements and is an infinite set.
Frequently asked questions
What is the correct answer to this question?
Infinite set
Why is this the correct answer?
The set is {101, 102, 103, ...}. After every listed positive integer, another larger positive integer exists, so the sequence never reaches a final element. Consequently, the elements cannot be completely counted or listed in a finite list. The set therefore has infinitely many elements and is an infinite set.
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.
