Compound inequalities

1. Compound Inequalities

2. What is a compound?
A compound in general means _______ than ____.
So a compound inequality is _____ than ____
inequality.
Examples of compound inequalities:

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 height
Write an inequality to represent the height of a
person that can go on Goliath.

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. So x 4 and x <
Try and graph the solution set

6. Solve and graph 3x < 9 AND x 3

7. To be fair, 6 Flags made a ride specifically made
for 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. Inequality is:

9. Solve and graph 2x < -6 OR x 5

10. Identify whether it is an OR / AND

11. Homework
• Page 345 # 18-21 (see page 342, EXAMPLE 1)
• Page 352 #21-24 (see page 349, EXAMPLE 2)