To determine the number of whole numbers between 35 and 68 (exclusive), let's break down the problem step-by-step:
1. We start with the given numbers: the lower bound 35 and the upper bound 68.
2. Since we are looking for whole numbers between 35 and 68, we do not include 35 and 68 themselves.
3. Therefore, the numbers we are interested in range from 36 to 67.
To find out how many whole numbers are there from 36 to 67:
- Consider the sequence: 36, 37, 38, ..., 67.
- The first number in this sequence is 36 and the last number is 67.
The number of whole numbers in a sequence can be found using the formula:
[tex]\[ n = (\text{last number} - \text{first number}) + 1 \][/tex]
However, since we exclude the first and last numbers, we adjust the formula to:
[tex]\[ n = (\text{last number} - \text{first number}) - 1 \][/tex]
Substituting 67 for the last number and 36 for the first number into the adjusted formula:
[tex]\[ n = (68 - 35) - 1 \][/tex]
Using this formula, we find:
[tex]\[ n = 68 - 35 - 1 = 32 \][/tex]
Therefore, the number of whole numbers between 35 and 68 is 32.
Hence, the correct answer is 31.
(i) 31
(ii) 30
(iii) 29
