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

2. 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

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

4. 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

5. 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

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

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

8. 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

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

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

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

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

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

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

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