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

Slides:

Advertisements

Similar presentations

Solving Systems of Inequalities by Graphing

Advertisements

3-3 Solving Systems of Inequalities by Graphing

Solve Systems of Equations & Graph Inequalities

Unit 1b Section 3-3 Solving Systems of Inequalities.

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

3.3 Graphing Systems of Inequalities. Steps to Graphing a System of Inequalities. 1) Graph each inequality with out shading the region. 2) Find the region.

3.3 Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to.

Graphing Inequalities of Two Variables Recall… Solving inequalities of 1 variable: x + 4 ≥ 6 x ≥ 2 [all points greater than or equal to 2] Different from.

2.6 Linear Inequalities in Two Variables

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

Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables..

Chapter 6 – Solving and Graphing Linear inequalities

Graphing Linear Inequalities in Two Variables Section 6.5 Algebra I.

Chapter 2 Section 7 Two-Variable Inequalities. Linear Inequality Linear Inequality – an inequality in two variables whose graph is a region of the coordinate.

3.4 Solving Systems of Linear Inequalities

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.

Solve systems of linear inequalities by graphing and using calculators.

9.3 – Linear Equation and Inequalities 1. Linear Equations 2.

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.

CHAPTER TWO: LINEAR EQUATIONS AND FUNCTIONS ALGEBRA TWO Section Linear Inequalities in Two Variables.

3.3 Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to.

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:

Graphing Linear Inequalities in Two Variables A solution to a linear inequality is a point (x, y) that makes the inequality true. The solution set includes.

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

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

Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. 2. The graph of a linear inequality in two variables is the set of all points in.

Drill Explain how to graph the following line; y = 4x – 3.

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.

Lesson 2.8 Graph Linear Inequalities in Two Variables.

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.

Review Graphing of Linear Inequality y < -3x - 1.

2.8A Graphing Linear Inequalities. Table for inequality Graphing Line type Shading SolidDashed Above (right if ↕) ≥ > Below (left if ↕) ≤

Algebra 1 Section 6.5 Graph linear inequalities in two variables.

Warm-up: Graph the linear inequalities.

6-6 Systems of Linear Inequalities

6-6 Systems of Linear Inequalities

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

Do Now Solve the following systems by what is stated: Substitution

6.6 Systems of Linear Inequalities

1.7 Introduction to Solving Inequalities

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

ALGEBRA II HONORS/GIFTED - SECTION 2-8 (Two-Variable Inequalities)

Solving Systems of Linear Inequalities

Systems of Linear Inequalities

Objective solve systems of linear inequalities in two variables.

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

Agenda: Warm-Ups Go over yesterday’s quiz

Solution Solution Checking Solutions of Inequalities

3.3 Graph Systems of Linear Inequalities

Take Quiz!!! Good luck.

Graphing Inequalities

Linear Inequalities in Two Variables

Graphing Linear Equations

Warm- up #38 Graph on the same coordinate plane: 1.) 5x +2y < -10

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.

Algebra 1B – Name: _________________________

Sullivan Algebra and Trigonometry: Section 12.8

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.

Systems of Linear Inequalities

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

Section Graphing and Solving Systems of Linear Inequalities

Graphing Linear Equations

L3-3 Objective: Students will graph systems of linear inequalities

Graph Linear Inequalities in Two Variables

Section 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities.

3.3 Graphing and Solving Systems of Linear Inequalities

6-6 Systems of Linear Inequalities

Solving Linear Systems by Graphing

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: K. Apply an appropriate technique to graph a linear inequality in two variables.

A system of linear inequalities has two or more linear inequalities that use the same variables. The solution is any ordered pair that makes both of the inequalities in the system a true statement at the same time. 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

Homework Integrated Algebra II- Section 3.4 Level A Honors Algebra II- Section 3.4 Level B