7.6: Systems of Linear Inequalities
Objective- To solve systems of Linear Inequalities by graphing and to use them to model real world
situations.
Vocabulary:
1. Systems of Linear Inequalities- __________________________________________________
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2. Solution of a System of Linear Inequalities- ________________________________________
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Example 1: Graphing a System of Linear Inequalities
a.) y < -x + 3
-2x + 4y  0
Example 2: Writing a System of Linear Inequalities from a Graph
Practice: Try it Out!
a.) y  2x – 3
b.) y > 2/3 x – 1
y  1/2x + 1
y  -3/4 x + 2
c.) y > -x + 2
y>3
b.) Mailing Packages- Suppose you have 2 jobs, babysitting which pays $5 per hour and packing
groceries which pays $6 per hour. You can work no more than 20 hours each week, but you need to
earn at least $90 per week. How many hours can you work at each job?