Page 24 - Math Course 3 (Book 1)

Linear Inequalities: Compound Inequalities

Find the intersection. MO. 1 - L4b
Solving Compound
Inequalities: or
4 5 6 7 8 9 10 11 12 13 14

Your Turn! Vocabulary A-Z

Let us learn some vocabulary
Graph an Intersection

Graph the solution set of y > 6 and y ≤ 10.

union
A.
2 3 4 5 6 7 8 9 10 11 12 Another type of compound inequality contains the
word or. Its graph is the union of the graphs of the
two inequalities.
B.
2 3 4 5 6 7 8 9 10 11 12
A compound inequality containing or is true if
one or more of the inequalities is true.

C.
2 3 4 5 6 7 8 9 10 11 12 x < 1
–2 –1 0 1 2 3 4 5 6

x < 4
D.
2 3 4 5 6 7 8 9 10 11 12 –2 –1 0 1 2 3 4 5 6
x < 1
Answer or –2 –1 0 1 2 3 4 5 6
x < 4

Solve and Graph an Intersection
Let’s Begin
Solve -3 < x - 2 < 5. Then graph the solution set.

A. {x | –1 < x < 7}
Write and Graph a Compound

–2 –1 0 1 2 3 4 5 6 7 8 Inequality
B. {x | –5 < x < 3}
Example

–5 –4 –3 –2 –1 0 1 2 3 4 5
C. {x | x < 7} TRAVEL
A ski resort has several types of hotel rooms and
several types of cabins. The hotel rooms cost at
–2 –1 0 1 2 3 4 5 6 7 8
most $89 per night and the cabins cost at least
D. {x | –1 < x < 3} $109 per night. Write and graph a compound
inequality that describes the amount that a guest
would pay per night at the resort.
–2 –1 0 1 2 3 4 5 6 7 8

Answer

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