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 inequality.

Question

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Answer 1

To express the given statement as an inequality, let's first define the variable \( x \) to represent the unknown number. According to the problem, the sum of 11 and three-fourths of this number is less than 112.

We can express this as:

\[ \frac{3}{4}x + 11 < 112 \]

Thus, the inequality that can be used to solve the problem is:

\[ \frac{3}{4}x + 11 < 112 \]