5-4 SOLVING COMPOUND INEQUALITIESObjectives:

1. Solve compound inequalities with one variable.

2. Graph solution sets of compound inequalities with one variable.

Compound Inequality• Compound inequality – When two simple inequalities are

combined into one statement by the words AND or OR.

• Intersection – • (AND) overlapping section

• Union – • (OR) combining regions

Example 1: Graph the following compound inequalities.

A. B.

C. D.

E. F.

You try…

1) 2)

3) 4)

5) 6)

Example 3: The temperature this week was between 42º F and 78ºF.a) Write a compound inequality.

 

b) Graph the inequality.

Trivia…1. How many states is Yellowstone National Park a part of?

3 Wyoming, Montana, & Idaho

2. In 1994, what NBA team failed to make the playoffs for the first time since 1976?

L.A. Lakers

3. Which breed of dog is the favorite of the queen of England?

Corgi

Example 4: My bank account must have more than $100 but at most $500.

a) Write a compound inequality.

 

 

b) Graph the inequality.

Example 5: Solve and graph.

A. B.

C. D.

You try…

1) 2)

You try…

3) 4)

Example 6: Write the compound inequality shown by the graph.A. B.

C.

0 5 12 -4 0 7

-3 0 6

Practice • WS

Homework• Pages 308-310: 7-27 odd, 31, 33, 39