1. Chapter 1 - Fundamentals 1.7 - Inequalities

2. Rules for Inequalities 1.7 - Inequalities

3. Linear Inequalities An inequality is linear if each term is constant or a multiple of the variable. To solve a linear inequality we isolate the variable on one side of the inequality sign. 1.7 - Inequalities

4. Example 1 – pg 80 # 20 Solve the linear inequality. Express the solution using interval notation and graph the solution set. 1.7 - Inequalities

5. Example 2 – pg 80 # 30 Solve the linear inequality. Express the solution using interval notation and graph the solution set. 1.7 - Inequalities

6. Nonlinear Inequalities Nonlinear inequalities are inequalities that involve squares or other powers of the variable other than 1. 1.7 - Inequalities

7. Solving Nonlinear Inequalities 1.7 - Inequalities

8. Example 3 Solve the nonlinear inequality. Express the solution using interval notation and graph the solution set. 1. 2. 3. 4. 1.7 - Inequalities

9. Absolute Value Inequalities We use the following properties to solve absolute value inequalities. 1.7 - Inequalities

10. Example 4 – pg. 80 Solve the absolute value inequality. Express the answer using interval notation and graph the solution set. 81. 83. 1.7 - Inequalities