Question

applications of inequalities practice
complete this assessment to review what youve learned. it will not count toward your grade.
the sum of 12 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)

Explanation:

Step1: Define the variable term

Three-fourths of the number $x$ is $\frac{3}{4}x$.

Step2: Add the constant term

The sum of 11 and this term is $\frac{3}{4}x + 11$.

Step3: Set up the inequality

This sum is less than 112, so place the $x$-term first.

Answer:

$\frac{3}{4}x + 11 < 112$