1. Chapter 6 -3 Inequalities
UNIT 3
Chapter 6 -3 Inequalities

2. Vocabulary
A mathematical sentence that contains < or > is called an inequality
Write an inequality for each sentence
A) Your age is less than 6 year old
Let a represent your age
a < 6
B) Your height is great than 40 inches
Let h represent your height
H > 40

3. Vocabulary In some cases, the inequalities contain ≥ or ≤ symbol
Write an inequality for each sentence
A) your speed is less than or equal to 45 miles per hour
Let s represent speed
s ≤ 45
B) Your earnings are greater than or equal to $100.
Let e represent earnings
e ≥ 100

4. Concept map Inequalities
<
> ≤ ≥
Less than
Is fewer than
Greater than
Is more than
Exceeds
Is less than or greater to
Is no more than
Is at most
Is greater than or equal to
Is no less than
Is at least

5. Inequalities Use an inequality
Example 1: Your speed is no more than 55 miles per hour
Let s = speed
s ≤ 55
Example 2: You have saved at least $75.00
Let d = dollars
D ≥ 75

6. Graph inequalities
Inequalities can be graphed on a number a line. The graph helps you visualize the values that make the inequality true.
Graph the inequality on a number line
Example 1: x > 4 Example 2: x ≤ 4
* the open circle means that The *The closed circle means that the number 4
number 4 is NOT included in the graph Is included in the graph

7. Let’s try some examples
Write an inequality for the sentence
A number X is greater than 10
More than 150 fans attended the game last night
Graph the inequality on a number line
X > 7 4) G ≥ 15
Write the inequality shown 5)

8. Let’s check our Answers!
Write an inequality for the sentence
A number X is greater than X > 10
More than 150 fans attended the game last night F > 150
Graph the inequality on a number line
X > 7
4) G ≥ 15
Write the inequality shown
5) X ≤ -3