2.11.6 Lesson Summary

In this lesson, you learned how to:

• Determine which side of the line the solutions to the inequality will fall, given a two-variable inequality and the graph of the related equation.
• Describe the graph that represents the solutions to a linear inequality in two variables.

Here are the activities that helped you reach those goals:

• 2.11.1: Using Computation and Reasoning
  • In this activity, you were familiarized with the computation and reasoning that you will need later to determine the solution region of a linear inequality in two variables.
• 2.11.2: Finding Solutions to Inequalities on the Coordinate Plane
  • In this activity, you built on your understanding that a linear inequality in one variable has many solutions, which are represented by all the points on one side of a number on a number line. You also recalled that a linear equation in two variables has many solutions, which are represented by all the points on the graph of the equation.
  • 2.11.2: Self Check
  • 2.11.2: Additional Resources
• 2.11.3: Sketching Solutions to Inequalities
  • In this activity, you looked at the regions that represent solutions and non-solutions to inequalities. You recognized that the boundary between the two regions is the graph of an equation that is related to the inequality.
  • 2.11.3: Self Check
  • 2.11.3: Additional Resources
• 2.11.4: Shading Boundary Line Regions
  • In this activity, you considered how to make decisions about which side of the boundary line to shade.

After these activities, you completed the following practice.

• 2.11.5: Practice