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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.
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