If J = {x : x ∈ N, x ≤ 50}, what type of set is J?
Answer and explanation
Correct answer: Finite set
Taking N as the natural numbers 1, 2, 3, and so on, the condition x ≤ 50 restricts J to J = {1, 2, 3, ..., 50}. This set has exactly 50 elements, so its cardinality is |J| = 50. Because the list has a fixed final element and cannot continue beyond 50, J is finite. It is not empty or infinite, while “equal set” is not a classification that answers the question.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
Taking N as the natural numbers 1, 2, 3, and so on, the condition x ≤ 50 restricts J to J = {1, 2, 3, ..., 50}. This set has exactly 50 elements, so its cardinality is |J| = 50. Because the list has a fixed final element and cannot continue beyond 50, J is finite. It is not empty or infinite, while “equal set” is not a classification that answers the question.
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.
