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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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