Lesson 7-3 Pages 340-344

Inequalities

PA Lesson Check 7-2

What you will learn!1. How to write inequalities.

2. How to graph inequalities.

InequalityInequality

What you really need to know!A mathematical sentence that contains any of the following symbols is called an inequality.

<< >> ≤≤ ≥≥is less is less thanthan

is fewer is fewer thanthan

is is greater greater

thanthan

is more is more thanthan

exceedsexceeds

is less is less than or than or equal toequal to

is no is no more more thanthan

is at is at mostmost

is is greater greater than or than or equal toequal to

is no is no less thanless than

is at is at leastleast

Link to Pre-Made Lesson

Example 1:Write an inequality for the sentence.Your age is less than 19 years.Pick a variable to represent your age. Let’s use a.

a < 19

Example 1b:

Write an inequality for the sentence.Your height is greater than 52 inches.Pick a variable to represent your height. Let’s use h.h > 52

Example 2:

Write an inequality for the sentence.Your speed is less than or equal to 62.Pick a variable to represent your speed. Let’s use s.s ≤ 62

Example 2b:

Write an inequality for the sentence.Your speed is greater than or equal to 42.Pick a variable to represent your speed. Let’s use s.s ≥ 42

Example 3:

To meet a certain air quality standard, an automobile must have a fuel efficiency of not less than 27.5 miles per gallon. Write an inequality to describe this situation.Let e represent

efficiencye ≥ 27.5

Example 4:

For the given value, state whether the inequality is true or false.

6 – 9 < 4-3 < 4 True!

s – 9 < 4, s = 6

Example 4b:

For the given value, state whether the inequality is true or false.

36 a ,13

14 a

13

3614

13

3614

11214

1314

False!

Example 5:

Graph the inequality:

x > 1011 12 13 147 8 9 104 5 6 15 16 17 18

Example 5b:

Graph the inequality:

x ≥ 1011 12 13 147 8 9 104 5 6 15 16 17 18

Example 5c:

Graph the inequality:

x < 1011 12 13 147 8 9 104 5 6 15 16 17 18

Example 5d:

Graph the inequality:

x ≤ 1011 12 13 147 8 9 104 5 6 15 16 17 18

Example 6:

Write the inequality for the graph.

-40 -39 -38 -37 -36 -35 -34 -33

x ≥ -38

Page 342-343

Guided Practice

#’s 3-12

Pages 340-342 with someone at home and

study examples!

Read:

Homework: Pages 343-344

#’s 14-42 even,

47-48, 50-62

PA Lesson Check 7-3THQ 7-3

Link to 7-3 Review Problems

Page

740

Lesson 7-3

PA Lesson Check 7-3