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

Slides:

Advertisements

Similar presentations

Warm Up Example 1 Check whether the ordered pair is a solution of 2x – 3y > -2 a.(0,0) 2(0)-3(0)> -2 0> -2 True b.(0,1) 2(0)-3(1)> -2 -3> -2 False.

Advertisements

Objective Graph and solve systems of linear inequalities in two variables.

Agenda: 11/02/11 1.) Warm-up 2.) Lesson: Graphing Linear Inequalities in Two Variables 3.) Class/Homework WS Graph Linear Inequalities 4.) STAY ON TASK!!!

TODAY IN ALGEBRA…  WARM UP: Determining whether an ordered pair is a solution and graphing linear equations  Learning Goal: 6.7 You will graph linear.

Warm - Up Graph the linear equation 2y + 4x = -2..

EOC Practice #18 SPI EOC Practice #18 Solve systems of linear equations/inequalities 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.

13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.

Graphing Linear Inequalities in Two Variables Section 6.5 Algebra I.

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

Section 4-1: Introduction to Linear Systems. To understand and solve linear systems.

3.4 Solving Systems of Linear Inequalities

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by 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.

Homework Review. Compound Inequalities 5.4 Are you a solution?

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by Graphing.

Chapter 4: Systems of Equations and Inequalities Section 4.3: Solving Linear Systems Using Graphs.

Further preview of Sec Objective: solve a system of two linear inequalities in two variables and to Graph the solution sets.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 5 Graphing Linear Inequalities in Two Variables.

WARM-UP Graph the equation below Graph the equation below y = ½ x + 3 y = ½ x + 3 Find 3 ordered pairs that are a solution to the equation above. Find.

Algebra 2 9/22/14 Bellwork:. 2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms:

. Solve the inequality. Then graph the solution. 9 ≤ + – 4x 7 12x 1.

Chapter 4: Systems of Equations and Inequalities Section 4.7: Solving Linear Systems of Inequalities.

Homework Assignment Pg: 429 (1-3 all,6-8 all, 18,21,28)

Daily Homework Quiz Solve the inequality. Then graph the solution. 9 ≤ +– 4x4x712x x 8 0 or 3x ANSWER –––––– ≥ x–2 x 2.

Warm-Up Exercises 1. Evaluate for 5, 2, and 5. 7–2x2x – x = Find two ordered pairs on each line. 2x 3y = y = 3. ANSWER 17, 3, 3 –– ANSWER ( ),),

System of Two Linear Inequalities (section 6.6) Today’s Objective: I can graph a system of two linear inequalities.

4.3 Solving Systems of Linear Inequalities 11/7/12.

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

Algebra 1 Section 7.6 Solve systems of linear inequalities The solution to a system of linear inequalities in two variable is a set of ordered pairs making.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.

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

Lesson 4-1 Solving linear system of equations by graphing

Linear Inequalities in One Variable

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

Warm Up Solve each inequality for y. 1. 8x + y < 6

6-6 Systems of Linear Inequalities

Linear Inequalities in Two Variables

Solve Linear Systems by Graphing

6.6 Systems of Linear Inequalities

2.6 Linear Inequalities in Two Variables

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

Solving Linear Systems by Graphing

Objective solve systems of linear inequalities in two variables.

Solve Linear Systems by Graphing

Solve Systems of Linear Inequalities

Solution Solution Checking Solutions of Inequalities

Graphing systems of linear equations and inequalities

Solving Systems of 5-6 Linear Inequalities Warm Up Lesson Presentation

Lesson Objective: I will be able to …

Objective Graph and solve systems of linear inequalities in two variables.

Solve Systems of Linear Inequalities

Objectives Identify solutions of linear equations in two variables.

5.1 Solving Systems of Equations by Graphing

Graph Linear Inequalities in Two Variables

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

Solving Linear Inequalities

A system of linear inequalities is a set of two or more linear inequalities containing two or more variables. The solutions of a system of linear inequalities.

4 minutes Warm-Up Solve and graph. 1) 2).

Solving Compound Inequalities

1.2 Solving Linear Systems by Graphing

Graph Linear Inequalities in Two Variables

Tell whether the ordered pair is a solution of the equation.

Presentation transcript:

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

Warm-Up  Graph y < x + 2

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.

Example 1:  Check whether (4, 2) is a solution of the system of inequalities. a. x + y > -2b. x – 3y < 4 x – y > 4 x > 1

Checkpoint:  Check whether (3, -1) is a solution of the system of inequalities. 1. x + y > x + y 4 y 6 3x + 4y > 8

Definition:  Graph of a system of linear inequalities shows all solutions of the system.

Graph the system. y -x - 1

Graph the system.y -1

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

Graph the system. x + y > 4 2x – y > 3

Graph the system. x > 2 y > -2 3x + 2y < 12

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

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

Graph the system in 3 variables. x 5

HOMEWORK: P ODD, 23-28, ODD, 43