If A = {x : x ∈ N, x is a two-digit even number less than 100}, what kind of set is A?
Answer and explanation
Correct answer: Finite set
The two-digit natural numbers begin at 10 and end at 99. The even members satisfying the condition are 10, 12, 14, and so on, up to 98. This list has a definite first and last value, so it contains only finitely many elements. It is not empty because 10 is included, and it cannot be infinite. Therefore, option B, finite set, is correct.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The two-digit natural numbers begin at 10 and end at 99. The even members satisfying the condition are 10, 12, 14, and so on, up to 98. This list has a definite first and last value, so it contains only finitely many elements. It is not empty because 10 is included, and it cannot be infinite. Therefore, option B, finite set, 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.
