The sum of 11 and three-fourths of a number is less than 112. What are all the possible values of the number? Write a inequality that could be used to solve this problem.

Let's call the number "x".

The sum of 11 and three-fourths of the number can be represented as 11 + (3/4)x.
According to the problem, this sum is less than 112.
So, the inequality can be written as:
11 + (3/4)x < 112