1. Warm Up: Wed, 01/21/15
Solve for x:
2x < -10
-3x > 9

2. Graphing Linear Inequalities
01/21/15

3. Inequality Symbol Type of Line > or < Dotted Line Solid Line
How to Determine
the Type of Line to Draw
Inequality Symbol
Type of Line
> or <
Dotted Line
Solid Line

4. Choose the type of line for the inequality given.
1. y > 3x - 2
a. Solid b. Dotted
2. y > ¼x - 5

5. Choose the inequality symbol for the line shown.

6. Choose the inequality symbol for the line shown.

7. If the inequality is:
Shade
y > mx + b or
Above the line
y < mx + b
Below the line

8. Graph y > x - 2. 1. Graph the line y = x - 2. x
2. Since y >, shade above the line. y

9. Graph y < x - 2. 1. Graph the line y = x - 2. x
2. Since y <, shade below the line. y

10. Do you do anything different when the line is dotted rather than solid?
Lesson
Start

11. Not Really
Lesson
Start

12. Finally…Check your shading!
The shading indicates that that coordinate is a solution for your inequality.
If it is a solution, you can plug in the coordinates to the inequality and it will be true.

13. What to do: Choose any point in the area you are shading
Plug in for x and y
Simplify your expression
Does it make the inequality true? Then it IS a solution. If it is false, it is NOT a solution.
If it is a solution, shade that side of the line. If it’s NOT, shade the other side.

14. Let’s check! y < x - 2. 1. Graph the line y = x - 2. x
2. Since y <, shade below the line. y

15. Now do #1 on your blue worksheet.
Stop!
Now do #1 on your blue worksheet.

16. Choose the correct inequality for the graph shown.
y < 1/3 x + 2
y < 1/3 x + 2 x
y > 1/3 x + 2
y > 1/3 x + 2 y

17. FRIDAY
01/23/15

18. Happy Aloha Friday! (01/23)
Please take out your Math Review notebook. We will have a short quiz. Please raise your hand and I will correct.

19. Math Review Quiz Solve for x: 2x – 2 < 16 (2 pts)
Graph #1 on a number line. (2 pts)

20. Essential Question
What does it mean if a linear function has no x or y intercept?

21. What do you notice about this graph?x y

22. Therefore, your equation will be x>1, because it intersects the x-axis at (1,0), and is shaded right. x y

23. Can you guess the inequality for this line?x y

24. The inequality for this line is going to be y < -1 b/c there is no x-intercept (and no slope), and is shaded down. x y

25. If the inequality is:
Shade
To the
x > # or
Right of the line
x < #
Left of the line

26. Practice
Please do #21 and #26 on your Wednesday worksheet [blue].

27. Graph x > -2 1. Draw a dotted vertical line at x = -2. x
2. Shade to the right of the line. y

28. Graph x < -2. 1. Graph the line X = -2. x
2. Shade to the left of the line. y

29. Graph x > 3.
Choose type of line.
Solid
Dotted x y

30. Graph x > 3. Choose type of line. Solid Choose where to shade. Left
Right y

31. Graph x > 3. Choose type of line. Solid Choose where to shade.
Right y

32. Solve -3x - 2y < 12.
+3x +3x
-2y < 3x + 12
y < -3/2 x - 6
>

33. Choose the correct inequality. 1. 2x + 5y > -10

34. Example 1 Which ordered pair is a solution of 5x - 2y ≤ 6? (0, -3)
(5, 5)
(1, -2)
(3, 3)
ANSWER: A. (0, -3)

35. Example 2 Graph the inequality x ≤ 4 in a coordinate plane.
Decide whether to
use a solid or
dashed line.
Use (0, 0) as a
test point.
Shade where the
solutions will be. y x 5 -5

36. Example 3 Graph 3x - 4y > 12 in a coordinate plane.
Sketch the boundary line of the graph.
Solve for “y” first:
y < ¾x - 3
Solid or dashed
line?
Use (0, 0) as a
test point.
Shade where the
solutions are. y x 5 -5

37. Example 4: Graph y < 2/5x in a coordinate plane.
What is the slope and y-intercept?
m = 2/5
b = (0,0)
Solid or dashed
line?
Use a test point
OTHER than the
origin.
Shade where the
solutions are. y x 5 -5

38. Graph: y ≥ -3/2x + 1 Step 1: graph the boundary (the line is solid ≥)
Step 2: test
a point NOT
On the line
(0,0) is always
The easiest if it’s
Not on the line!!
3(0) + 2(0) ≥ 2
0 ≥ 2
Not a solution
So shade the other side of the line!!

39. Graph: y < 6

40. Graph: 4x – 2y < 7