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

Question

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

To represent the given problem as an inequality, we need to express the sum of 11 and three-fourths of the number \( x \). This can be done as follows:

The sum of 11 and three-fourths of \( x \) can be expressed as:

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

According to the problem, this sum is less than 112. So, we write the inequality:

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

This inequality specifies the condition you need for the variable \( x \).