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

3.1 Inequalities and Their Graphs

Concept – Unit 1

Objective: SWBAT identify solutions of inequalities, graph and write inequalities.

Quick Review1. Name each inequality

2. Fill in the correct inequality

a. 5 __ 7 b. 0 __ -3

c. -4 __ -1 d. -0.1 __ -0.01

3.Graph each number on the number line:

a. 0 b. 4 c. -2

< > ≤ ≥

0

Less Than Greater Than Less Than or equal to

Greater Thanor equal to

<

<

>

<

Inequality Symbols

To Equal or Than Greater

To Equal or Than Less

Than Greater

Than Less

Reminder:

• “Less Than” has a L in italics, which looks like this <

• The “Equal To” part fills in the dot…

Symbol Vocabulary Graphed

OPEN

CLOSE

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

5. -8 ≥ -y – 4

OPEN

CLOSE

OPEN

OPEN

CLOSE

Graphing Inequalities6. Graph n > -2

7. Graph 4 ≤ m

8. Graph a < 1

9. Graph y ≥ -30

0

0

0

Writing an InequalityWrite an inequality for each graph

10.

x > 2

11.

x ≤ 0

12.

x ≥ 1

13.

x < -3

0

0

0

0

Mental Math14. Is each number a solution of x ≤ 7?

a. 9

b.

15. Is each number a solution of x > -4.1?

a. -5

b. -4.1

c. 8

d. 0

214

No

Yes

No

No

Yes

Yes

Identifying Solutions by Evaluating16. 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

No

Yes

Yes

Define a variable.

Write an inequality for each situation.