In this lesson, you will investigate different ways to find the solution set to an inequality—by reasoning about the quantities and relationships in context; by guessing some values, substituting them into the inequality, and checking them to see if you make the inequality true; and by first solving a related equation in one variable.

When you finish this lesson, you will be able to:

• Graph the solution to an inequality in one variable.
• Solve one-variable inequalities.
• Interpret the solutions to one-variable inequalities in terms of the situation.

Here are the activities that will help you reach those goals:

• 2.9.1: Writing Solutions to Inequalities
• 2.9.2: Graphing Inequalities
  • 2.9.2: Self Check
  • 2.9.2: Additional Resources
• 2.9.3: Understanding the Meaning of an Inequality
  • 2.9.3: Self Check
  • 2.9.3: Additional Resources
• 2.9.4: Making Sense of Inequalities and Their Solutions
• 2.9.5: Comparing Equality and Inequality
  • 2.9.5: Self Check
  • 2.9.5: Additional Resources
• 2.9.6 Using Technology to Visualize Inequality Solutions
• 2.9.7 Identifying Inequality Solutions on a Graph

After that, you’ll practice and review.

• 2.9.8: Practice
• 2.9.9: Summary