3-3 Systems of Inequalities Objectives: 1. To solve systems of linear inequalities.
Lesson 3.3 – Systems of Inequalities. Systems of Linear Inequalities Ex 1)
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Lesson 3.3 – Systems of Inequalities
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Transcript of Lesson 3.3 – Systems of Inequalities. Systems of Linear Inequalities Ex 1)
Lesson 3.3 – Systems of Inequalities
Systems of Linear InequalitiesSystems of Linear Inequalities
82
1
yx
yx
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
Ex 1)
x 2y 6
y 32x5
Try with your partner…Try with your partner…
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
Ex 2)
yxyx5 2
Absolute Value SystemsAbsolute Value Systems
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
Ex 4)
1
183
xy
xy
Try with Your partner…Try with Your partner…
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
-10 -8 -6 -4 -2 2 4 6 8 10
-10
-8
-6
-4
-2
2
4
6
8
10
Ex 5)
Absolute Value SystemsAbsolute Value Systems
Remember…-identify the type of graph: linear or absolute value?-will the line be solid or dotted?-where should you shade?-what is the region of solutions?
Going to Camp!Going to Camp!
4 8 12 16 20 24 28 32
3
6
9
12
15
18
21
24
27
30
Ex 3) A camp counselor needs less than 30 campers to sign up for 2 mountain hikes (high trail and low trail). The counselor wants at least 10 campers on the low trail. Write and graph a system of linear inequalities to model this situation.
Lesson 3.3 – Systems of Inequalities
Homework: 3.3 # 5-15 odd, 16, 17-29 odd
***use graph paper
