Carrying Out the Plan. The following Venn die. gram helps us to visualize the information. Recons he numbers of multiples in the appropriate regions of the diagram, and then determine how many numbers are not multiples of 3 or 5.

Without the actual Venn diagram provided, it is impossible to determine the exact numbers of multiples in the appropriate regions. However, I can provide you with a general approach to solve this problem.

To determine the number of multiples in the appropriate regions:

1. Identify the sets: The sets in this problem are multiples of 3 and multiples of 5.

2. Calculate the multiples: Determine the multiples of 3 and 5 separately.

3. Find the intersection: Identify the numbers that are multiples of both 3 and 5.

4. Determine the union: Add the number of multiples of 3 and the number of multiples of 5 while excluding the numbers that are multiples of both. This will give you the total number of multiples.

To find how many numbers are not multiples of 3 or 5:

1. Calculate the total number of numbers: Determine the total number of numbers in the given range.

2. Subtract the total number of multiples found earlier (step 4) from the total number of numbers. This will give you the count of numbers that are not multiples of 3 or 5.

Please provide the actual Venn diagram or specific numerical information to get a more accurate answer.