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5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one variable.

5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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Page 1: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

5-4 SOLVING COMPOUND INEQUALITIESObjectives:

1. Solve compound inequalities with one variable.

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

Page 2: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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

Page 3: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

Example 1: Graph the following compound inequalities.

A. B.

Page 4: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

C. D.

Page 5: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

E. F.

Page 6: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

You try…

1) 2)

3) 4)

5) 6)

Page 7: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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

 

b) Graph the inequality.

Page 8: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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

Page 9: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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

a) Write a compound inequality.

 

 

b) Graph the inequality.

Page 10: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

Example 5: Solve and graph.

A. B.

Page 11: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

C. D.

Page 12: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

You try…

1) 2)

Page 13: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

You try…

3) 4)

Page 14: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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

C.

0 5 12 -4 0 7

-3 0 6

Page 15: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

Practice • WS

Page 16: 5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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