Final answer:
There are 13 integers between -(3/2) and 13/2.
Step-by-step explanation:
The given inequality is: -(3/2) < x < 13/2
To find how many integers are there between these two numbers, we need to count the integers that are greater than -(3/2) and less than 13/2.
Integers greater than -(3/2) are -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12. Integers less than 13/2 are -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, and 7.
Therefore, there are 13 integers between -(3/2) and 13/2.