What type of set is B = {x : x ∈ N, x ≤ 5}?
Answer and explanation
Correct answer: Finite set
The set contains natural numbers that are less than or equal to 5. Under the common convention N = {1, 2, 3, ...}, its elements are {1, 2, 3, 4, 5}; if 0 is included in N, the set is {0, 1, 2, 3, 4, 5}. In either convention, there are only finitely many elements, so B is a finite set. The exact convention about including 0 does not change the answer.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
The set contains natural numbers that are less than or equal to 5. Under the common convention N = {1, 2, 3, ...}, its elements are {1, 2, 3, 4, 5}; if 0 is included in N, the set is {0, 1, 2, 3, 4, 5}. In either convention, there are only finitely many elements, so B is a finite set. The exact convention about including 0 does not change the answer.
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.
