Question Video: Writing an Inequality to Represent a Constraint or Condition in a Real-World Problem Mathematics

Video Transcript

Chloe was able to clean more than three-sevenths of her apartment after her friends came over and left. Write an inequality to represent the fraction of the apartment that she still has left to clean.

Let’s consider the following diagram split into sevenths. We’re told that Chloe was able to clean more than three-sevenths. This can be written as 𝑥 is greater than or more than three-sevenths. Three-sevenths plus four-sevenths is equal to seven-sevenths. This is the same as one whole one.

If Chloe has cleaned more than three-sevenths already, she will have less than four-sevenths remaining. This can be written as the inequality 𝑥 is less than four-sevenths.