What kind of set is A = {x : x ∈ ℕ, x is a factor of 13}?
Answer and explanation
Correct answer: Finite set
The natural-number factors of 13 are 1 and 13 because 13 is prime. Thus A = {1, 13}. This set has exactly two elements, so it is neither empty nor infinite. The term unequal set is not a classification of a set by its number of elements and is irrelevant here. Therefore, A is a finite set and option B is correct.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The natural-number factors of 13 are 1 and 13 because 13 is prime. Thus A = {1, 13}. This set has exactly two elements, so it is neither empty nor infinite. The term unequal set is not a classification of a set by its number of elements and is irrelevant here. Therefore, A is a finite set and 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.
