In this lesson, students consolidate what they have learned over the last few lessons about writing and solving inequalities. They also consider whether fractional values or negative values make sense in context as solutions to an inequality. For instance, if they find that , but represents the number of students who can go on a trip, then they should realize that cannot be 3.25, nor can be -2. The main activity uses the Information Gap routine. To obtain all the necessary information, students need to persevere in asking questions (MP1) and to communicate precisely (MP6).

The last activity is optional because it provides an opportunity for additional practice with writing an inequality to represent a situation and interpreting the solution in context.