3.4 Solving Systems of Linear Inequalities

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Presentation transcript:

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.

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.

* b. x ≥ 0 y ≥ 0 y > -x + 2 y ≤ -2x + 3

C.

* d. y > -x – 2 y > x + 3 y ≤ 3

Ex 2. Graph each inequality in a coordinate plane. a. –3 ≤ x ≤ 2

b. –1 < y < 3

* c. 0 < x ≤ 4

* d. 1 ≤ y < 4

Writing Activities

PSSA Warm-Up Question Alg II – Chp. 3 Standard 2.8.11 G Analyze and explain systems of equations and inequalities. Solve this system of inequalities: 2x + y < 5 y < x - 4

Homework Pg. 183-184 #10-44 even