If A = {x ∈ ℕ : x > 100}, choose the correct option.
Answer and explanation
Correct answer: A is infinite
The natural numbers greater than 100 are 101, 102, 103, and so on. There is no final natural number in this sequence; whenever one such number is chosen, the next integer is also greater than 100. Therefore the set has infinitely many elements. It is not empty, it is not finite, and 100 itself is excluded by the strict inequality.
Frequently asked questions
What is the correct answer to this question?
A is infinite
Why is this the correct answer?
The natural numbers greater than 100 are 101, 102, 103, and so on. There is no final natural number in this sequence; whenever one such number is chosen, the next integer is also greater than 100. Therefore the set has infinitely many elements. It is not empty, it is not finite, and 100 itself is excluded by the strict inequality.
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.
