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

4.3.1 – Systems of Inequalities. Recall, we solved systems of equations What defined a system? How did you find the solutions to the system?
Graphing A System Linear Inequalities
Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.
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.
2.8 Graph Linear Inequalities in Two Variable. Types of Two Variable Inequalities: Linear Inequality: y < mx + b Ax + By ≥ C Absolute Value Inequality:
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.
Linear Equations in One Variable
3.2 – Solving Linear Equations by Graphing. Ex.1 Solve the equation by graphing. x – y = 1.
3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.
Warmups 1. Graph y > -x 2. Graph 2x - y < 6 3. Write 2 equations in slope-intercept form that are parallel and perpendicular to: (0,-2) y = -3x + 7.
7.1 Solving Linear Systems by Graphing Systems of Linear Equations Solving Systems of Equations by Graphing.
13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?
Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.
1 Warm Up 1.Solve and graph |x – 4| < 2 2. Solve and graph |2x – 3| > 1 2x – x 4 x – 4 > -2 and x – 4 < x > 2 and x < 6.
SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.
2.8 – Graphing Inequalities. Steps for graphing inequalities:
Section 6.5: Linear Inequalities. Is the ordered pair a solution for y > x – 3? A) (1,2) How do we know if (1,2) is a solution? y > x - 3 ( ) > ( ) -
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
3.3 Graphing and Solving Systems of Linear Inequalities p. 156.
9.3 – Linear Equation and Inequalities 1. Linear Equations 2.
Algebra I Section 5-6 Graphing Inequalities in Two Variables.
CHAPTER TWO: LINEAR EQUATIONS AND FUNCTIONS ALGEBRA TWO Section Linear Inequalities in Two Variables.
Linear Inequalities in Two Variables.  Tell whether each statement is true or false when x = -2 and y = 1: ◦ 2x – y < 5 TRUE ◦ x + 3y > 0 TRUE.
Chapter 2 Section 2.7. Objectives To draw graphs of inequalities in two variables. Use a graphing calculator to graph linear inequalities.
Chapter 4 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Solving Systems of Equations Graphing Linear Inequalities.
4.3 Solving Systems of Linear Inequalities 11/7/12.
Algebra 1: Section 3-1 Inequalities and Their Graphs.
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.
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.
Type Example Solution Linear equations 2x – 8 = 3(x + 5) A number in one variable x = -23.
Graphing a System of Inequalities
Bell Ringer Use the < and > symbols to complete the inequality.
3 – Graphs of Inequalities (No Calculator)
Systems of Inequalities
6-6 Systems of Linear Inequalities
Graphing Linear Inequalities
Graphing Linear Inequalities
Graphing Linear Inequalities
ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Solution Solution Checking Solutions of Inequalities
Graphing Linear Inequalities
SECTION 6-5 : LINEAR INEQUALITIES
Objective Graph and solve systems of linear inequalities in two variables.
3-1 Inequalities and Their Graphs
Graphing Inequalities
Linear Inequalities in Two Variables
Warm- up #38 Graph on the same coordinate plane: 1.) 5x +2y < -10
Solve Systems of Linear Inequalities
5.1 Solving Systems of Equations by Graphing
7.6 Graphing Systems of Linear Inequalities
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Algebra 1B – Name: _________________________
Graph Linear Inequalities in Two Variables
ALGEBRA I - SECTION 6-6 (Systems of 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).
Section 12.2: Graphing Systems of LInear Inequalities
Warm Up.
Section 5 Solving Inequalities
Section Graphing and Solving Systems of Linear Inequalities
3.3 Notes – Graph Systems of Linear Inequalities
Graph Linear Inequalities in Two Variables
Tell whether the ordered pair is a solution of the equation.
Presentation transcript:

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

Determine whether the ordered pair is a solution of the given system. (-2, 1) y> 2x – 1 x + y < 2 y> 2x – 1 x + y < 2 ( ) > 2 ( ) – > -4 – 1 1 > -5 True or false? True ( ) + ( ) < < 2 -1 < 2 True or false? True (-2, 1) is a solution

Steps to graph a system of linear inequalities 1.Graph each individual inequality with shading 2.Solution is area shaded twice

Steps to graph a system of linear inequalities 1.Graph each individual inequality with shading 2.Solution is area shaded twice

Steps to graph a system of linear inequalities 1.Graph each individual inequality with shading 2.Solution is area shaded twice x-int:y-int -.5 x-int: y-int: 4 2

I can graph a system of two linear inequalities. Assignment: pg 403: 7-21, 33, 46-48