To list the numbers that are greater than 6 and less than 13, follow these steps:
1. Identify the lower bound and upper bound based on the given conditions:
- The lower bound is 6.
- The upper bound is 13.
2. Exclude the lower bound (6) and the upper bound (13) from the list.
3. Identify all whole numbers between these bounds:
- The numbers that fit this criterion are:
- 7 (greater than 6 and less than 13)
- 8 (greater than 6 and less than 13)
- 9 (greater than 6 and less than 13)
- 10 (greater than 6 and less than 13)
- 11 (greater than 6 and less than 13)
- 12 (greater than 6 and less than 13)
4. List the numbers:
- The numbers greater than 6 and less than 13 are 7, 8, 9, 10, 11, and 12.
Therefore, the set of numbers greater than 6 and less than 13 is:
[tex]\[ \{ 7, 8, 9, 10, 11, 12 \} \][/tex]
