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.
3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.
Jan 02, 2016
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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.
• 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 QuestionAlg 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
HomeworkPg. 183-184 #10-44 even
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