Question

W = {× / × is a counting number between 2 and 15}

a. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
b. {3, 5, 7, 9, 11, 13, 15}
c. {2, 4, 6, 8, 10, 12, 14}
d. {2, 5, 8, 11, 14}

Answer 1

The correct set W should include the consecutive counting numbers between 2 and 15, which are {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}. None of the provided options matches this set exactly.

Step-by-step explanation:

The student is asked to define set W, which consists of all counting numbers between 2 and 15. This includes the numbers 3 through 14, since the numbers are between 2 and 15, not including the endpoints.

Therefore, the correct set that defines W is:

• {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

As such, none of the provided options (a, b, c, d) perfectly match the required description. Option a includes number 2 and 15 which should not be included, options b and d contain numbers that are not consecutive counting numbers between 2 and 15, and option c is missing number 3.