Choose the correct solution in roster form.
S is the set of prime numbers that are less than 15.
A. {2,3,5,7,11,13}
B. {2,3,5,7,9,11,13}
C. {1,3,5,7,9,11,13}
D. (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
The correct solution in roster form is A. {2,3,5,7,11,13}.
To find the correct solution in roster form for the set S, which is the set of prime numbers less than 15, we need to identify all the prime numbers less than 15 and list them in roster form.
Prime numbers are numbers greater than 1 that can only be divided evenly by 1 and itself. Based on this definition, we can identify the prime numbers that are less than 15 by checking each number individually.
Starting from the smallest number, we can check if each number is divisible by any numbers other than 1 and itself. If it is not divisible by any other number, then it is a prime number.
Here's the step-by-step process:
1. Start with the number 2. Check if it is divisible by any numbers other than 1 and itself. Since there are no such numbers, 2 is a prime number.
2. Move on to the next number, which is 3. Similarly, check if it is divisible by any numbers other than 1 and itself. Since there are no such numbers, 3 is a prime number.
3. Continue this process for the remaining numbers less than 15: 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.
After completing this process, we find that the prime numbers less than 15 are: 2, 3, 5, 7, 11, 13.
Now we can list these numbers in roster form:
A. {2, 3, 5, 7, 11, 13}
Therefore, the correct solution in roster form is A. {2, 3, 5, 7, 11, 13}.
The correct solution in roster form for the set of prime numbers that are less than 15 is:
A. {2, 3, 5, 7, 11, 13}