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**3.4 Solving Systems of Linear Inequalities**

Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities in two variables for a given solution region. Standard: K. Apply an appropriate technique to graph a linear inequality in two variables.

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**A system of linear inequalities is a collection of linear inequalities that use the same variables.**

The solution is any ordered pair that makes each of the inequalities in the system a true statement. When graphing a system of linear inequalities, shade the part of the graph where all of the solution regions for each individual linear inequality overlap.

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* b. x ≥ y ≥ 0 y > -x y ≤ -2x + 3

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C.

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* d. y > -x – y > x y ≤ 3

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**Ex 2. Graph each inequality in a coordinate plane.**

a. –3 ≤ x ≤ 2

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b. –1 < y < 3

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* c. 0 < x ≤ 4

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* d. 1 ≤ y < 4

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Writing Activities

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**PSSA Warm-Up Question Alg II – Chp. 3**

Standard G Analyze and explain systems of equations and inequalities. Solve this system of inequalities: 2x + y < y < x - 4

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Homework Pg #10-44 even

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