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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: 2.8.11.K. Apply an appropriate technique to graph a linear inequality in two variables.

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A system of linear inequalities has two or more linear inequalities that use the same variables. The solution is any ordered pair that makes both of the inequalities in the system a true statement at the same time. 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 ≥ 0 y ≥ 0 y > -x + 2 y ≤ -2x + 3

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C.

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* d. y > -x – 2 y > x + 3 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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Homework Integrated Algebra II- Section 3.4 Level A Honors Algebra II- Section 3.4 Level B

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