1. Graphing Linear Inequalities on a Grid MATH 017 Intermediate Algebra S. Rook

2. 2 Overview Section 3.6 (Objective 1) in the textbook –Graphing Linear Inequalities including finding test points and shading

3. 3 Graphing Linear Inequalities We know 3 ways to graph: –Table of Values –Intercepts –By slope and y-intercept No different than graphing linear equalities except for: –Whether the line is solid (≤, ≥) or broken ( ) –Shading one side of the line

4. 4 Test Points and Shading After constructing the line, pick a test point that does NOT lie on the line –(0, 0) is often a good choice Substitute the x and y values into the inequality and simplify –If the statement is true, shade the side WITH the test point –If the statement is false, shade the side WITHOUT the test point

5. 5 Graphing Linear Inequalities on a Grid (Example) Ex 1: Graph y ≥ -3x – 1

6. 6 Graphing Linear Inequalities on a Grid (Example) Ex 2: Graph 5x – 3y < 12

7. 7 Graphing Linear Inequalities on a Grid (Example) Ex 3: Graph x ≤ 2y

8. 8 Graphing Linear Inequalities on a Grid (Example) Ex 4: Graph

9. 9 Summary After studying these slides, you should know how to do the following: –Graph a linear inequality on a coordinate grid and correctly shade one side of the line based on a test point