Choose the correct statement about A = {x ∈ ℕ : x is a two-digit even number}.
Answer and explanation
Correct answer: A is finite
The two-digit natural numbers begin at 10 and end at 99. The even members are 10, 12, 14, and so on, up to 98. This is a bounded list with a fixed first and last value, so it has only finitely many elements. In fact, there are 45 such numbers. Option D lists only one-digit even numbers and therefore does not represent A.
Frequently asked questions
What is the correct answer to this question?
A is finite
Why is this the correct answer?
The two-digit natural numbers begin at 10 and end at 99. The even members are 10, 12, 14, and so on, up to 98. This is a bounded list with a fixed first and last value, so it has only finitely many elements. In fact, there are 45 such numbers. Option D lists only one-digit even numbers and therefore does not represent A.
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.
