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# Compound inequalities

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Compound inequalities

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• 1,3,7
• ### Compound inequalities

1. 1. Compound Inequalities
2. 2. What is a compound?A compound in general means _______ than ____.So a compound inequality is _____ than ____ inequality.Examples of compound inequalities:
3. 3. Suppose you are at an amusement park (6 Flags for example) and to go on Goliath, you must be of a certain height, usually 48 inches or ______ feet tall.Let x represent the possible heightWrite an inequality to represent the height of a person that can go on Goliath.
4. 4. So x 4( ft) Now suppose that the people at 6 Flags do not want giants to go on the ride either! So no short people and no giants =(Let’s say that the people at 6 Flags think that you have to be at least 4 feet tall AND shorter than 7 ft tall (sorry Shaq).Can you think of a compound inequality to represent the height of anyone who is allowed to ride on Goliath?
5. 5. So x 4 and x <Try and graph the solution set
6. 6. Solve and graph 3x < 9 AND x 3
7. 7. To be fair, 6 Flags made a ride specifically madefor short and tall people alike.6 Flags made a ride where the height limitations are the following:You need to be SHORTER than 4 ft OR you need to be TALLER than 7 ft.Can you come up with an inequality to represent this situation?
8. 8. Inequality is:
9. 9. Solve and graph 2x < -6 OR x 5
10. 10. Identify whether it is an OR / AND
11. 11. Homework• Page 345 # 18-21 (see page 342, EXAMPLE 1)• Page 352 #21-24 (see page 349, EXAMPLE 2)