1. CCSSM Stage 1 Companion Text
Lesson 1-F
CCSSM Stage 1 Companion Text
Inequalities

2. Warm-Up Fill in each statement with <, > or =. 1. 5 ___ 8
1. 5 ___ 8
___ 0.09
___ 1.20
7.4 ___ 7.14
0.001 ___
<
> =
>
>

3. Inequalities Target: Write inequalities for real-world situations.
Lesson 1-F
Inequalities
Target:
Write inequalities for real-world situations.
Graph inequalities on a number line.

4. Jennifer has less than $75
Vocabulary
Inequality
A mathematical sentence that contains < , >,  or .
Jennifer has less than $75
in her bank account.
j < $75
Monte has at least 300
baseball cards.
m  300

5. Inequality Symbols > “greater than” < “less than”
 “greater than or equal to”
 “less than or equal to”

6. Example 1
Write an inequality for each statement. a. Nanette’s height (h) is greater than 50 inches. The key words are “greater than”. Use the symbol >. h > 50 b. Pete has at least $6 in his pocket. Let p represent the amount of money. The key words are “at least”. This means the lowest p ≥ 6 amount he could have is $6. Use the ≥ symbol. c. Jeremy is less than 20 years old. Let j represent Jeremy’s age. The key words are “less than”. Use the symbol <. j < 20

7. Inequalities and Number Lines
For < or >, use an OPEN circle to graph the
inequality:
x > 1
x < 1
For  or , use a CLOSED circle to graph the
x  1
x  1
x could be any value greater than –1. 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1
Notice that the open circles on the number line DO NOT include that value while filled-in circles DO include the value. 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1

8. Example 2 Graph each inequality on a number line. a. x < 5 b. y ≥ 0
a. This inequality includes all values less than 5 (not including 5).
Use an open circle on 5 to show this. The arrow points to all values less than 5.
This inequality includes all values greater than or equal to 0.
Use a closed circle on 0 to show this. The arrow points to all
values greater than 0.

9. Exit Problems 1. Write an inequality for the graph.
2. Write an inequality for the statement: Jeena’s height (h) is less than 5 feet.
3. Graph the inequality x < 2.

10. Communication Prompt
Number lines are used to give a visual picture of an inequality statement. What is another situation in math where a visual is used to show the math?