1. Unit 1 – First-Degree Equations and Inequalities Chapter 2 – Linear Relations and Functions 2.7 – Graphing Inequalities

2. In this section we will learn about: –Graphing linear inequalities –Graphing absolute value inequalities

3. 2.7 – Graphing Inequalities Graphing Linear Inequalities –Resembles linear equation but with an inequality symbol y < 2x + 1 –The graph of the equation y = 2x + 1 is the boundary of the region ≤ or ≥ is a solid line is a dashed line

4. 2.7 – Graphing Inequalities Example 1 –Graph x – 2y < 4

5. 2.7 – Graphing Inequalities Example 2 –One tutoring company advertises that it specializes in helping students who have a combined SAT verbal and math score of 900 or less. Write an inequality to describe the combined scores of students who are prospective tutoring clients. Let x represent the verbal score and y the math score Does a student with a verbal score of 480 and a math score of 410 fit the tutoring company’s guidelines?

6. 2.7 – Graphing Inequalities HOMEWORK Page 104 #11 – 21 odd, 22 – 26 all

7. 2.7 – Graphing Inequalities Graphing Absolute Value Inequalities –Similar to graphing linear inequalities

8. 2.7 – Graphing Inequalities Example 3 –Graph y ≥ |x| - 2

9. 2.7 – Graphing Inequalities HOMEWORK Page 104 #29 – 34 all