SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear...

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SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities

Transcript of SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear...

Page 1: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIESGoal: Graph, write and use a system of linear inequalities

Page 2: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Warm-Up

Graph y < x + 2

Page 3: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Definitions

System of linear inequalities in two variables consists of two or more linear inequalities in the same variables.

Solution of a system of linear inequalities is any ordered pair that is a solution of each inequality in the system.

Page 4: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Example 1:

Check whether (4, 2) is a solution of the system of inequalities.

a. x + y > -2 b. x – 3y < 4x – y > 4 x > 1

Page 5: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Checkpoint:

Check whether (3, -1) is a solution of the system of inequalities.

1. x + y > 1 2. -2x + y < -4 3. x – y > 4 y < 2 x – 2y > 6 3x + 4y > 8

Page 6: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Definition:

Graph of a system of linear inequalities shows all solutions of the system.

Page 7: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system. y< 2x – 3y > -x - 1

Page 8: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system. y < 2y > -1

Page 9: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system. x > -3x + 2y < 4

Page 10: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system. x + y > 42x – y > 3

Page 11: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system. x > 2y > -23x + 2y < 12

Page 12: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system in 3 variables. x > 0y > 0x + y < 5

Page 13: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system in 3 variables. x > 0y > 2y < 2x + 6

Page 14: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

Graph the system in 3 variables. x < 2y < 53x + y > 5

Page 15: SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.

HOMEWORK: P. 188-18911-15 ODD, 23-28, 31-37 ODD, 43


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Graphing Linear Inequalities...Graphing)Linear)Inequalities) Directions:)Graph)each)linear)inequality)on)graph)paper.) 1))y)>;)4x+8) ) 2))3x+4y)))8) ) 4))5x–)!!!≥2)

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In this lesson… We will write and graph linear inequalities.

In this lesson… We will write and graph linear inequalities.

Section 3.2 Graphing Systems of Linear Inequalities in Two ...mayaj/m140_Chapter3_Sec3.2_f18completed.pdfProcedure for Graphing Linear Inequalities: 1. Draw the graph of the equation

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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.

3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.

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Holt Algebra 1 6-6 Solving Systems of Linear Inequalities Graph and solve systems of linear inequalities in two variables. Objective.

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Chapter 5.1 Systems of linear inequalities in two … 5.1 Systems of linear inequalities in two variables. In this section, we will learn how to graph linear inequalities in two variables

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Holt McDougal Algebra 1 5-6 Solving Systems of Linear Inequalities Graph and solve systems of linear inequalities in two variables. Objective.

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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 1 4.4 Linear Inequalities in Two Variables Graph linear inequalities in two variables.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.4 - 1 4.4 Linear Inequalities in Two Variables Graph linear inequalities in two variables.

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Graphing Linear Inequalities Objective- To graph inequalities on the coordinate plane.

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