Fri 10/2 Lesson 2 – 8 Learning Objective: To graph two variable inequalities Hw: Pg. 118 #8 – 17, 39 – 41, *46

Algebra II

 To graph two variable inequalities

 Linear Inequality – an inequality in two variables (x & y) whose graph is the region of the coordinate plane bounded (stopped) by a line  Boundary – line that bounds the graph of a linear inequality

 Test Point – a point not on the boundary. Use it to check whether the point satisfies the inequality. Usually (0, 0)  If it satisfies the inequality, shade the side of the line containing that point  If it does not satisfy the inequality, shade the other side of the line that does not contain the point.

1. y > 3x – 1 dotted line! Check (0, 0) 0 > 3(0) – 1 0 > 0 – 1 0 > -1TRUE! Shade side with (0, 0)

3. y < -x + 3 dotted line Shade below Check (0, 0) 0 < < < 3TRUE! Shade side with (0, 0)

 When you graph an inequality, you can often use the point (0, 0) to test which side of the boundary to shade. Describe a situation in which you could not use (0, 0) as a test point.