1. Solution of the Inequality
6.5 – Linear Inequalities.
Definitions of the Day (DODs)
Inequalities (Review)
Linear Inequality
Solution of the Inequality

2. Inequality Symbol Meaning
Inequality Review
Inequality Symbol Meaning
<
Less than ≤
Less than or equal to
>
Greater than ≥
Greater than or equal to ≠
Not equal to

3. Linear Inequality Definition: Describes a REGION of the coordinate plane that has a boundary line.
PICTURE
REGION
Boundary Line
EACH POINT ON A “DASHED” BOUNDARY LINE IS “NOT” A SOLUTION

4. Solution Of The Inequality Definition: Every Point in the Region
Every!!! POINT is a solution
Boundary Line
EACH POINT ON A “SOLID” BOUNDARY LINE “IS” A SOLUTION
PICTURE

5. Example # 1 Graphing Inequalities
Graph: y < -2x+3
Graph The Boundary
Line y = -2x+3, FIRST
Because <,Use a
“DASHED”
Boundary Line
(4,0)
(0,0)
Take Test Points On
Ether Side of the Boundary
Line To find the Region
REGION

6. Example # 2 Graphing Inequalities
Graph: 2x - 5y < 10
REGION
Test Points:(0,0),(0,-4)

7. YOUR TURN!
GRAPH: y < 5x - 5

8. YOUR TURN!
GRAPH: 2x + 3y < 6

9. Sentence Frames
1. Any Solution to an Inequality will lie____________ the shaded ________
2. (T,F) There may be more than one solution to a Linear Inequality because_________________________________________________________