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 express the problem as an inequality, we can let \( x \) represent the number in question. The phrase "three-fourths of a number" translates to \( \frac{3}{4}x \).

According to the problem, the sum of 11 and three-fourths of the number is less than 112. We can write this as:

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

So the inequality that could be used to solve this problem is:

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