Which of the following sets is finite but non-empty?
Answer and explanation
Correct answer: {x : x ∈ N, x is a factor of 12}
The set of natural-number factors of 12 is {1, 2, 3, 4, 6, 12}. It has six elements, so it is finite, and it has several elements, so it is not empty. Option A is empty because no integer has square −9. Options B and D are infinite. Therefore, only option C satisfies both required conditions.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ N, x is a factor of 12}
Why is this the correct answer?
The set of natural-number factors of 12 is {1, 2, 3, 4, 6, 12}. It has six elements, so it is finite, and it has several elements, so it is not empty. Option A is empty because no integer has square −9. Options B and D are infinite. Therefore, only option C satisfies both required conditions.
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.
