1. Graphing Inequalities lines
Slope and Y-intercept Form

2. Graphing inequalities is very similar to graphing linear equations.
Once you graph your linear equation, focus on the inequality symbol
It's easy and fun.

3. > > < < Inequalities Signs Shadow up Dotted line
Solid line
Shadow up
<
Shadow Down
Dotted line
<
Shadow Down
Solid line

4. . . . y < 2 x + 1 y < m x + b m Graphing inequalities Rise = 2 2
Run = 1 .
y < m x + b .
Y-intercept
Order Pair
Rise = 2
b = 1
(0 , 1)
Slope 2
Rise m = =
m = 2
Run 1

5. . . . y < 2 x + 1 y < m x + b m Graphing inequalities Rise = 2 2
Run = 1 .
y < m x + b .
Y-intercept
Order Pair
Rise = 2
b = 1
(0 , 1)
Slope 2
Rise m = =
m = 2
Run 1

6. . . . < < = y < 2 x + 1 y < m x + b Graphing inequalities
Run = 1 .
y < m x + b .
Now lets graph the line
Rise = 2
<
Less Than Means
Shadow down
< =
Solid Line

7. . . . < < = y < 2 x + 1 y < m x + b Graphing inequalities
Run = 1 .
y < m x + b .
Now lets graph the line
Rise = 2
<
Less Than Means
Shadow down
< =
Solid Line

8. . . . < < = y < 2 x + 1 y < m x + b Graphing inequalities
Run = 1 .
y < m x + b .
Now lets graph the line
Rise = 2
<
Less Than Means
Shadow down
< =
Solid Line

9. . . . y > - 3 x + 2 y > m x + b m Graphing inequalities
Run = 1
y > m x + b .
Y-intercept
Order Pair .
Fall = -3
b = 2
(0 , 2)
Slope . -3
Fall m = =
m = -3
Run 1

10. . . . y > - 3 x + 2 y > m x + b m Graphing inequalities
Run = 1
y > m x + b .
Y-intercept
Order Pair .
Fall = -3
b = 2
(0 , 2)
Slope . -3
Fall m = =
m = -3
Run 1

11. . . . > > y > - 3 x + 2 y > m x + b Graphing inequalities
Run = 1
y > m x + b .
Now lets graph the line .
Fall = -3
>
Great Than Means
Shadow up
> . No
Equal
Sigh
Dotted Line

12. . . . > > y > - 3 x + 2 y > m x + b Graphing inequalities
Run = 1
y > m x + b .
Now lets graph the line .
Fall = -3
>
Great Than Means
Shadow up
> . No
Equal
Sigh
Dotted Line

13. Graphing System of inequalities
Two lineal Inequalities at the Same time
Find The solutions of this inequality system
y < 2 x + 1
y > - 3 x + 2

14. . . < < = y < 2 x + 1 Graphing System of inequalities 2 Rise
b = 1
m = 2 = =
Run 1 .
Now lets graph the line
<
Less Than Means
Shadow up
< =
Solid Line

15. . . < < = y < 2 x + 1 Graphing System of inequalities 2 Rise
b = 1
m = 2 = =
Run 1 .
Now lets graph the line
<
Less Than Means
Shadow up
< =
Solid Line

16. . . . . > > y < 2 x + 1 y > - 3 x + 2
Graphing System of inequalities
y < 2 x + 1 . 2
Rise
b = 1
m = 2 = . =
Run 1 .
y > - 3 x + 2 .
Fall -3
b = 2
m = -3 = =
Run 1
Now lets graph the line
>
Great Than Means
Shadow up
> No
Equal Sign
Dotted Line

17. . . . . > > y < 2 x + 1 y > - 3 x + 2
Graphing System of inequalities
y < 2 x + 1 . 2
Rise
b = 1
m = 2 = . =
Run 1 .
y > - 3 x + 2 .
Fall -3
b = 2
m = -3 = =
Run 1
Now lets graph the line
>
Great Than Means
Shadow up
> No
Equal Sign
Dotted Line

18. > > y < 2 x + 1 y > - 3 x + 2
Graphing System of inequalities
y < 2 x + 1 2
Rise
b = 1
m = 2 = =
Run 1
y > - 3 x + 2
Fall -3
b = 2
m = -3 = =
Run 1
Now lets graph the line
>
Great Than Means
Shadow up
> No
Equal Sign
Dotted Line

19. y < 2 x + 1 y > - 3 x + 2 Graphing System of inequalities 2 Rise
b = 1
m = 2 = =
Run 1
y > - 3 x + 2
Fall -3
b = 2
m = -3 = =
Run 1
Solution is were both lines overlaps.