What type of set is A = {x ∈ ℕ : x ≤ 100 and x is prime}?
Answer and explanation
Correct answer: Finite and non-empty
The set contains all prime natural numbers not exceeding 100. There are only finitely many natural numbers from 1 through 100, so the set can have only finitely many elements. It is also non-empty because numbers such as 2, 3, 5, 7, and 11 are prime and satisfy the condition. Therefore, A is finite and non-empty.
Frequently asked questions
What is the correct answer to this question?
Finite and non-empty
Why is this the correct answer?
The set contains all prime natural numbers not exceeding 100. There are only finitely many natural numbers from 1 through 100, so the set can have only finitely many elements. It is also non-empty because numbers such as 2, 3, 5, 7, and 11 are prime and satisfy the condition. Therefore, A is finite and non-empty.
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.
