Answer :

To determine the number of numbers between 42 and 52, we can break the problem down into the following steps:

1. Identify the boundaries: We want to find the numbers between 42 and 52. By "between," we typically mean excluding 42 and including 52.

2. List the numbers: The numbers between 42 and 52 are:
[tex]\[ 43, 44, 45, 46, 47, 48, 49, 50, 51, 52 \][/tex]

3. Count the numbers: We count each number from the list to determine how many there are in total. Starting from 43 and ending at 52, we have:

- 43
- 44
- 45
- 46
- 47
- 48
- 49
- 50
- 51
- 52

Counting these individually, we get a total of 10 numbers.

However, if we are strictly looking at numbers "between" 42 and 52, excluding 42 and not necessarily including 52, we focus on the numbers from 43 up to 51.

4. Refine the count for the specific instruction: If we exclude both 42 and 52, then we have:

- 43
- 44
- 45
- 46
- 47
- 48
- 49
- 50
- 51

Now, counting these, we find there are 9 numbers.

Thus, the number of numbers between 42 and 52, excluding both 42 and including 52, is 9.