If A₂ = {x : x ∈ N, 10 ≤ x < 100}, what type of set is A₂?
Answer and explanation
Correct answer: Finite set
The condition 10 ≤ x < 100 selects the natural numbers 10, 11, 12, ..., 99. There is a definite first element, 10, and a definite last element, 99. Therefore, the set contains only 90 elements and is finite. A set may have many elements and still be finite if its total number of elements is limited.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The condition 10 ≤ x < 100 selects the natural numbers 10, 11, 12, ..., 99. There is a definite first element, 10, and a definite last element, 99. Therefore, the set contains only 90 elements and is finite. A set may have many elements and still be finite if its total number of elements is limited.
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.
