Question

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.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Answer 1

no

Answer 2

To set up the inequality based on the information given, we can express "three-fourths of a number" as \(\frac{3}{4}x\) where \(x\) is the number. The problem states that the sum of 11 and three-fourths of the number is less than 112.

This can be written as:

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

Rearranging this into the format you requested (with the \(x\) term first), we would keep it as:

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

So, the final inequality that represents the situation is:

\[
\frac{3}{4}x < 101
\]