Graphing Systems of Linear Inequalities

Slides:

Advertisements

Similar presentations

Solving Systems of Inequalities by Graphing

Advertisements

3-3 Solving Systems of Inequalities by Graphing

SOLUTION EXAMPLE 1 Graph a system of two linear inequalities Graph the system of inequalities. y > –x – 2 y  3x + 6 Inequality 1 Inequality 2 Graph both.

Table of Contents Graphing Systems of Linear Inequalities It is assumed you already know how to graph a linear inequality, which was discussed in a previous.

Graphing A System Linear Inequalities

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.

7.6 Solving Systems of Linear Inequalities. Remember How to Sketch the graph of 6x + 5y ≥ 30… 1.Write in slope- intercept form and graph: y ≥ - 6 / 5.

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

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

Linear Equations, Inequalities, and Absolute Value

5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.

Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.

Copyright © 2010 Pearson Education, Inc. All rights reserved. 4.5 – Slide 1.

3.6 Solving Absolute Value Equations and Inequalities

Graphing Systems of Linear Inequalities It is assumed you already know how to graph a linear inequality, which was discussed in a previous module. Graphing.

Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.

3.3 Systems of Inequalities An inequality and a system of inequalities can each have many solutions. A solution of a system of inequalities is a solution.

Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

Chapter 4 Section 4.6 Solving Systems of Linear Inequalities.

Systems of Equations Standards: MCC9-12.A.REI.5-12

Linear Inequalities by Graphing

Graphing Inequality Systems

3.4 Solving Systems of Linear Inequalities ©2001 by R. Villar All Rights Reserved.

EXAMPLE 1 Graph a system of two inequalities Graph the system of inequalities. y > –2x – 5 Inequality 1 y < x + 3 Inequality 2.

Chapter 4 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Practice 6.7. Solve the inequality and graph your solution #1 AND OR.

Solving Systems of Equations Graphing Linear Inequalities.

+ 4.5 Graphing Systems of Linear Inequalities. + Review Graph the following.

Essential Question: How do you find the solution to a system of linear inequalities? Students will write a summary how to graph systems of linear inequalities.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Do Now Draw the graph of: 2x – 4y > 12. Solving a system of Inequalities Consider the system x + y ≥ -1 -2x + y <

Objectives: Graph (and write) inequalities on a number line.

Linear Inequalities in One Variable

Graphing a System of Inequalities

3.3 – Solving Systems of Inequalities by Graphing

SYSTEMS OF LINEAR INEQUALITIES

Section 7.5 Systems of Linear Inequalities

6-6 Systems of Linear Inequalities

Systems of Equations and Inequalities

Linear Inequalities Solution to inequality in one variable – interval on number line Solution to inequality in two variables – points in the plane Graph.

Notes Over 2.1 Graph the numbers on a number line. Then write two inequalities that compare the two numbers and and 9 l l l.

Solving Linear Systems of Equations - Concept

Learning Target I can solve systems of linear inequalities by graphing.

ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)

SYSTEMS OF LINEAR INEQUALITIES

Solving Systems of Linear Inequalities

Absolute Value inequalities

Jeopardy- Systems Systems of Inequalities Systems of Equations

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

3.3 Graph Systems of Linear Inequalities

Graphing systems of linear equations and inequalities

1.5 Linear Inequalities.

Solve Systems of Linear Inequalities

7.6 Graphing Systems of Linear Inequalities

Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.

SYSTEMS OF LINEAR INEQUALITIES

Algebra 1B – Name: _________________________

ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)

6.4 Solving Compound Inequalities

SYSTEMS OF LINEAR INEQUALITIES

3.3 Notes – Graph Systems of Linear Inequalities

SYSTEMS OF LINEAR INEQUALITIES

SYSTEMS OF LINEAR INEQUALITIES

SYSTEMS OF LINEAR INEQUALITIES

SYSTEMS OF LINEAR INEQUALITIES

Intersection Method of Solution

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

3.3 Graphing and Solving Systems of Linear Inequalities

Presentation transcript:

Graphing Systems of Linear Inequalities It is assumed you already know how to graph a linear inequality, which was discussed in a previous module. Graphing a system of linear inequalities means to graph two or more inequalities.

To solve a system of linear inequalities: 1) Graph each inequality in the system, shading each with a different pattern. 2) Determine the intersection of the graphs. It is the solution of the system.

Example 1 Solve: Graph the first inequality.

Graph the second inequality.

The solution to the system is the part where the two graphs overlap, including the lower part of the blue line.

Click to rerun the slideshow. END OF PRESENTATION Click to rerun the slideshow.