Page 161 - Math Course 1 (Book 1)

Understanding Inequalities

Mo. 5

Lesson 3

Let’s Begin

KEY CONCEPTS:
1. Write inequalities.
2. Graph inequalities. Write Inequalities

Examples

MO. 5 - L3a
Write an inequality for the following sentence.
Your height is greater than 52 inches.
Writing Inequalities
Words Your height is greater than 52
inches.

Variables Let h represent height.
Vocabulary A-Z

Let us learn some vocabulary Inequality h > 52

Answer h > 52
Inequality

A mathematical sentence that contains <, >, ≤, or ≥ is Write an inequality for the following sentence.
called an inequality.
Your speed is less than or equal to 62 mph.
> Greater than Your speed is less than or equal
Words
≤ Greater than or equal to 62 mph.
< Less than Variables Let s represent speed.
≥ Less than or equal

Inequality s ≤ 62
Key Concept Answer s ≤ 62

Product of Powers REAL WORLD EXAMPLE

< > ≤ ≥ ENVIRONMENT
To meet a certain air quality standard, an auto-
• is less • is greater •is less • is greater mobile must have a fuel ef ciency of not less
than than than or than or than 27.5 miles per gallon. Write an inequality to
• is fewer • is more equal to equal to describe this situation.
than than • is no • is no less Fuel ef ciency of at least 27.5 miles
• exceeds more than than Words per gallon.
• is at most • is at least
Variables Let f = fuel ef ciency in miles per
gallon.

Inequality f ≥ 27.5

Answer The inequality is f ≥ 27.5.

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