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}
The correct solution in roster form is {2, 3, 5, 7, 11, 13}.
The correct solution in roster form for the set of prime numbers that are less than 15 is {2, 3, 5, 7, 11, 13}.
To solve this question, we need to identify the prime numbers that are less than 15. Prime numbers are numbers that are divisible only by 1 and themselves. So, we need to check which numbers from 1 to 15 satisfy this condition.
The prime numbers less than 15 are:
2, 3, 5, 7, 11, 13
Now, let's compare the given options:
- Option 1: {2, 3, 5, 7, 11, 13}
- Option 2: {2, 3, 5, 7, 11, 13}
- Option 3: {2, 3, 5, 7, 9, 11, 13}
- Option 4: {2, 3, 5, 7, 9, 11, 13}
- Option 5: {1, 3, 5, 7, 9, 11, 13}
- Option 6: {1, 3, 5, 7, 9, 11, 13}
- Option 7: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
From the given options, only option 1 and option 2 match the prime numbers less than 15. Therefore, the correct solution in roster form is:
S = {2, 3, 5, 7, 11, 13}