What type of set is {x ∈ ℕ : x is a factor of 24}?
Answer and explanation
Correct answer: Finite
The natural-number factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. This list contains eight elements and is complete because a positive integer has only finitely many positive divisors. Therefore, the set is non-empty and finite, not infinite or a singleton. Option B is correct.
Frequently asked questions
What is the correct answer to this question?
Finite
Why is this the correct answer?
The natural-number factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. This list contains eight elements and is complete because a positive integer has only finitely many positive divisors. Therefore, the set is non-empty and finite, not infinite or a singleton. Option B 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.