1. Warm Up Exercise… Create a stem and leaf plot for the given data.
Then, calculate the mean, median, mode, and range.
15, 15, 9, 9, 20, 23, 7, 17, 6, 10

2. 3.1 Inequalities and Their Graphs Concept – Unit 1
Objective: SWBAT identify solutions of inequalities, graph and write inequalities.

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, 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. Define a variable.
Write an inequality for each situation.