1. 3.1 Inequalities and Their Graphs
Objective: SWBAT graph and determining solutions of inequalities.

2. Mini Quiz 20 1. Express in miles per hour: 1 mi in 3 min
2. Fresh Flowers sells six roses for $ Find the unit rate.
3. In converting rates, how do you set it up?

3. Quick Review 1. Name each inequality 2. Fill in the correct inequality
a. 5 __ 7 b. 0 __ -3
c. -4 __ -1 d __ -0.01
3.Graph each number on the number line:
a. 0 b. 4 c. -2
<
> ≤ ≥
Less Than
Greater Than
Less Than
or equal to
Greater Than
or equal to
<
>
<
<

4. Inequality Symbols OPEN CLOSE Reminder:
Symbol Vocabulary Graphed
OPEN
CLOSE
Reminder:
“Less Than” has a L in italics (that’s tripping), which looks like this <
The “Equal To” part fills in the dot…

5. Open or Solid? Tell whether the following is an open dot or close dot:
1. x > 7
2. x - 1 ≤ 23
3. 5y < -3
4. -2x + 3 > -5
≥ -y – 4
OPEN
CLOSE

6. Graphing Inequalities
6. Graph n > -2
7. Graph 4 ≤ m
8. Graph a < 1
9. Graph y ≥ -3

7. Writing an Inequality Write an inequality for each graph 10. x > 2
11.
x ≤ 0
12.
x ≥ 1
13.
x < -3

8. Mental Math 14. Is each number a solution of x ≤ 7? a. 9 b. No Yes
d. 0 No
Yes No
Yes

9. Identifying Solutions by Evaluating
16. Is each number a solution of 2 – 5x > 13?
a. -4
b. 3
17. Is each number a solution of 6x – 3 > 10?
a. 1
b. 2
c. 3
d. 4
Yes No No
Yes

10. Wrap Up Inequalities Graphing Inequalities
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to
Graphing Inequalities
Open or Close
Shade to left or right
Evaluating Inequalities – check solutions
HW: P #1-37 EOO; P #80-88 all
Write DLUQ: When do you graph with a closed dot?