In this lesson, you will find the solutions to systems of linear inequalities in two variables.
When you finish this lesson, you will be able to:
- Write a system of inequalities to describe a situation, find the solution by graphing, and interpret points in the solution.
- Explain what is meant by “the solutions to a system of inequalities” and describe the graphs that represent the solutions.
- Find values that satisfy each constraint individually, and values that satisfy both constraints at once, when given descriptions and graphs that represent two different constraints.
Here are the activities that will help you reach those goals:
- 2.14.1: Modeling Equations to Solve a Riddle
- 2.14.2: Finding a Pair of Values that Satisfies Multiple Inequalities
- 2.14.2: Self Check
- 2.14.2: Additional Resources
- 2.14.3: Writing Systems of Inequalities that Represent Situations
- 2.14.3: Self Check
- 2.14.3: Additional Resources
- 2.14.4: Graphing Solutions of Systems of Inequalities
- 2.14.5: Writing Inequalities for Situations and Representing on a Graph
After that, you’ll practice and review.
- 2.14.6: Practice
- 2.14.7: Lesson Summary