Question

which is the set of prime numbers greater than 21 and less than or equal to 33?
{23, 29, 31, 33}
{23, 29, 33}
{21, 23, 29, 31}
{23, 29, 31}

Explanation:

Step1: Define prime numbers

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

Step2: List numbers >21, ≤33

Numbers in range: 22,23,24,25,26,27,28,29,30,31,32,33

Step3: Filter non-primes

• 22 divisible by 2; 24 divisible by 2; 25 divisible by 5; 26 divisible by 2; 27 divisible by 3; 28 divisible by 2; 30 divisible by 2; 32 divisible by 2; 33 divisible by 3; 21 divisible by 3.
• Remaining primes: 23,29,31

Answer:

{23, 29, 31}