Lesson objective: Apply skills of writing, solving, and graphing the solutions to inequalities to compare situations leading to discrete and continuous graphs.

This lesson provides an opportunity for students to apply their knowledge and understanding of graphing inequalities to a mathematical situation. Students are asked to write word problems that would result in the same inequality but have different graphs.

Key Concept students will use:

- There may be infinitely many numbers that satisfy an inequality. We can show them all on a number line.

Skills students will use:

- Writing inequalities.
- Graphing inequalities (Grade 6, Unit 9).

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they develop situations that match a mathematical model.

**Key vocabulary: **

- continuous
- discrete