What type of set is the set of even prime numbers greater than 2?
Answer and explanation
Correct answer: Empty set
The only even prime number is 2. Every other even number is divisible by 2 and therefore has at least two positive divisors, so it is not prime. Since the question asks for even prime numbers greater than 2, no number satisfies the condition. Hence the set has no elements and is the empty set, written as ∅.
Frequently asked questions
What is the correct answer to this question?
Empty set
Why is this the correct answer?
The only even prime number is 2. Every other even number is divisible by 2 and therefore has at least two positive divisors, so it is not prime. Since the question asks for even prime numbers greater than 2, no number satisfies the condition. Hence the set has no elements and is the empty set, written as ∅.
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.
