Solving Linear Inequalities Objectives: To graph and solve linear inequalities with 2 variables To graph and solve systems of linear inequalities with 2 variables

Key Terms Linear Inequality Solution of Linear Inequality Similar to a linear equation, but the equal sign is replaced with an inequality symbol <, <, >, > Solution of Linear Inequality Is any ordered pair that makes the inequality true

EX. 1 )Identifying Solutions Tell whether the ordered pair is a solution (7,3); y < x – 1 (4,5) ; y > 3x + 2

Ex. 2a) Graphing Linear Inequalities y < 3x + 4 Steps: Isolate y Think of slope intercept form to graph < or > are dashed < or > are solid Shade and check

Ex. 2b) Graphing Linear Inequalities 3x +2y > 6 Steps: Isolate y Think of slope intercept form to graph < or > are dashed < or > are solid Shade and check

Writing and Inequality y < -1/3x +2 and y > 5x -2

Homework Practice 5-5 (page 364) Day 1 Day 2 #’s 1-11 skip 9

Solving Systems of Linear Inequalities Key Terms System of linear inequalities Set of 2 or more linear inequalities containing 2 or more variables Solutions of systems of linear inequalities All of the ordered pairs that satisfy all the linear inequalities in the system

Ex1) Identify Solutions of the Systems (2,1) y < -x + 4 y < x +1 (2,0) y > 2x y < x +1

Ex2) Solving a System of Inequalities Graph and list a solution y < -2x + 3 y > ½ x -2

Ex3a) Solving a System of Inequalities Graph and list a solution y < 2x - 3 y > 2x + 2

Ex3b) Solving a System of Inequalities Graph and list a solution y > x - 3 y < x + 1

Ex3c) Solving a System of Inequalities Graph and list a solution y < -3x - 2 y < -3x + 4

Practice Solving a System of Inequalities Graph and list a solution y < x + 1 y > 2 y > 2x + 3 y > 2x

Homework Practice 5-6 (page 370) Day 1 #’s 1-14 Day 2 #’s 16-28