The sum of 11 and three-fourths of a number is less than 112. What are all the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter x as the variable, and write the inequality so that the x term comes first. Where necessary, write numbers as fractions (rather than decimals). Do not solve the inequali ty.

Let's assume the number is represented by the variable x.

The sum of 11 and three-fourths of the number can be written as: 11 + (3/4)x.

Since this sum is less than 112, we can write the inequality as: 11 + (3/4)x < 112