Carrie is finding the set of even numbers within the set of prime numbers.

Of the sets described, which is the universal set?

Group of answer choices

all real numbers

even numbers

prime numbers

all integers

Universal set (U) = Set of prime numbers

Step-by-step explanation:

Solution:-

- All even numbers are numbers that are divisible by 2 or have at-least an LCM of 2 associated with that number.

- All prime numbers are divisible by 1 and the number itself. Which 2 which is divisible by 1 and itself is a prime number and an even number.

- Considering only positive integers.

- Carrie is looking for a set of even numbers within the set of prime number.

- As stated above, the only integer, 2, is common to both prime number set and even number set.

- Hence, universal set (U) should be prime numbers.

- Universal set (U) = Set of prime numbers.