Choose the correct solution in roster form.
S is the set of prime numbers that are less than 15.
(1 point)
Responses
{2, 3, 5, 7, 11, 13}
{2, 3, 5, 7, 11, 13}
{2, 3, 5, 7, 9, 11, 13}
{2, 3, 5, 7, 9, 11, 13}
{1, 3, 5, 7, 9, 11, 13}
{1, 3, 5, 7, 9, 11, 13}
(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
{2, 3, 5, 7, 11, 13}
The correct solution in roster form for the set S, which consists of prime numbers less than 15, is:
{2, 3, 5, 7, 11, 13}
To find the set of prime numbers less than 15 in roster form, we need to identify the prime numbers between 1 and 15. Prime numbers are numbers that are only divisible by 1 and themselves.
Starting from 2, we check if each number is divisible by any number between 2 and its square root. If it is not divisible by any of these numbers, it is a prime number. Repeat this process up to 15.
The prime numbers less than 15 are: 2, 3, 5, 7, 11, and 13.
Therefore, the correct solution in roster form is: {2, 3, 5, 7, 11, 13}.