Question

The sum of 11 and 3/4 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 inequality

Answer 1

Let's represent the number with the variable x.

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

The inequality stating that the sum is less than 112 can be written as:

11 + (3/4)x < 112