Question

In the set V = {2, 3, 5, 7, 9, 11, 13, 15, 17, 19}, what is the set P of numbers that are multiples of 3 or 5, excluding 3 and 5?

A) {2, 7, 11, 17, 19}
B) {5, 9, 13, 15, 19}
C) {7, 11, 13, 17, 19}
D) {5, 7, 9, 11, 13, 17}

Answer 1

The set P, consisting of numbers in V that are multiples of 3 or 5 excluding 3 and 5, is {9, 15}. The correct answer is not listed in the provided options.

Step-by-step explanation:

The student is asking to find the set P of numbers within the set V = {2, 3, 5, 7, 9, 11, 13, 15, 17, 19} that are multiples of 3 or 5, but excluding the numbers 3 and 5 themselves. To solve this, we check each number in set V to see if it is divisible by either 3 or 5.

2 - Not a multiple of 3 or 5.

7, 11, 13, 17, 19 - None of these are multiples of 3 or 5.

9 - This is a multiple of 3.

15 - This is both a multiple of 3 and 5.

Therefore, the set P consisting of numbers that are multiples of 3 or 5 (excluding 3 and 5) from set V is {9, 15}. The correct answer choice is not available among the provided options A, B, C, and D.