If A = {x : x is an even prime number}, what is A?
Answer and explanation
Correct answer: A = {2}
A prime number has exactly two positive divisors: 1 and itself. Among all even numbers, only 2 has this property; every other even number is divisible by 2 and another integer, so it is not prime. Hence the set of even prime numbers is A = {2}. It contains one element, so it is also a singleton and a finite set.
Frequently asked questions
What is the correct answer to this question?
A = {2}
Why is this the correct answer?
A prime number has exactly two positive divisors: 1 and itself. Among all even numbers, only 2 has this property; every other even number is divisible by 2 and another integer, so it is not prime. Hence the set of even prime numbers is A = {2}. It contains one element, so it is also a singleton and a finite set.
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.
