Graphing a Linear Inequality

Slides:



Advertisements
Similar presentations
How to Graph a Linear Inequality. Linear Inequalities linear inequality  A linear inequality describes a region of the coordinate plane that has a boundary.
Advertisements

{ Graphing Linear Equations And Inequalities.  Create an x y chart.  Pick the x’s that you would like to use.  You must pick at least three, you may.
9.4 – Solving Absolute Value Equations and Inequalities 1.
Warm - Up Graph the linear equation 2y + 4x = -2..
Linear Inequalities. Inequality Signs Read left to right: a < b a is less than b a < b a is less than or equal to b a > b a is greater than b a > b a.
Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.
 Linear Equations in Two Variables  To Graph a Linear Inequality 1)Graph the related linear equality (forms the boundary line).  and  are graphed.
Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.
3.3 Solving Systems of Inequalities by Graphing Pg. 123 Standards addressed: 2.1 & 2.2.
Linear Equations in One Variable
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.
6.6 Linear Inequalities TSWBAT sketch the region defined by linear inequality Chapter 6 Algebra 1 Ms. Mayer.
Chapter 3 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Linear Inequalities in Two Variables
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.
Chapter 2 Section 7 Two-Variable Inequalities. Linear Inequality Linear Inequality – an inequality in two variables whose graph is a region of the coordinate.
Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.
Lesson 2.10 Solving Linear Inequalities in Two Variables Concept: Represent and Solve Systems of Inequalities Graphically EQ: How do I represent the solutions.
Graphing and Solving Inequalities. Finding an Inequality Boundary Boundary Point: A solution(s) that makes the inequality true (equal). It could be the.
Solving Inequalities: Review of Unit 12 Created by: Amanda Hollenbacher 1/30/2005.
5.2: Solving Systems of Equations using Substitution
Warm-Up Solve the following Inequalities:
6.5 Solving Inequalities by Factoring. Steps to Solve To solve an inequality by factoring, treat the inequality like an sign and solve. Make sure to set.
Graphing Linear Inequalities on a Grid MATH 017 Intermediate Algebra S. Rook.
Graphing a Linear Inequality
9.3 – Linear Equation and Inequalities 1. Linear Equations 2.
CHAPTER TWO: LINEAR EQUATIONS AND FUNCTIONS ALGEBRA TWO Section Linear Inequalities in Two Variables.
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.
Graphing a Two Variable Inequality. Examining the Solutions of a Linear Equation Are the following points solutions to the equation y = -2x + 3 ? Justify.
Advanced Algebra Notes Section 4.9: Graphing Quadratic Inequalities A _________________________________ can be written as follows: Remember when graphing.
Linear Inequalities Math 10 – Ms. Albarico. Students are expected to: Express and interpret constraints using inequalities. Graph equations and inequalities.
Solving a Linear Inequality. Solving an Inequality In order to find the points that satisfy an inequality statement: 1. Find the boundary 2. Test every.
Name: Date: Topic: Linear Inequalities Essential Question: How can the infinite number of solutions of a linear inequality be represented? Warm-Up: Graph.
Use graphing to solve this system. 1. y = 2x y = -x + 3 Use substitution to solve this system. 2. y = x-2 -2x -4y = 4 Use elimination to solve this system.
Systems of Inequalities Essential Question: How do we solve systems of inequalities by graphing? Standard: MCC9-12.A.REI.12.
Solving Systems of Equations Graphing Linear Inequalities.
Graphing Linear Inequalities in 2 Variables By Tristen Billerbeck.
Lesson 2.8 Graph Linear Inequalities in Two Variables.
Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.
SYSTEM OF INEQUALITIES Graphing. Linear Inequalities and System of Linear Inequalities  Make sure both inequalities are solved for y.  Graph like an.
Lesson 7.5, page 755 Systems of Inequalities
Type Example Solution Linear equations 2x – 8 = 3(x + 5) A number in one variable x = -23.
Chapter 9 Linear and Quadratic Inequalities
Objectives: Learn to solve Linear Inequalities 3x + 2y > 6 y > 0
Graphing Quadratic Inequalities
1.8 Graphing Linear Inequalities
§ 9.4 Linear Inequalities in Two Variables and Systems of Linear Inequalities.
Graphing Linear Inequalities
Graphing Systems of Inequalities.
Systems of Linear Inequalities
Solution Solution Checking Solutions of Inequalities
Section 6.8 Linear Inequalities in Two Variables
Systems of Inequalities
6.5 Solving Inequalities by Factoring
Linear Inequalities in Two Variables
Solutions of Equations and Inequalities
Bellwork Determine whether the ordered pairs are solutions of the inequality: 2x-3y>-2 1.) (0,0) 2.) (0,1)
Graphing Systems of Linear Inequalities
Solve and Graph 2x + 3 < 9 2x + 3 = x = x = 3
Bellwork (1 of 2) Describe the number of solutions for each below:
Objective Graph and solve linear inequalities in two variables.
Algebra 2 09/12/16 EQ: How do I graph 2-variable linear inequality
Algebra 1B – Name: _________________________
Graph Linear Inequalities in Two Variables
6.6 Systems of Linear Inequalities
Chapter 2 Section 7 Two-Variable Inequalities
Graphing Linear Inequalities
9 Chapter Chapter 2 Inequalities and Absolute Value.
Systems of Inequalities
Presentation transcript:

Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.

Graphing a Linear Inequality 1) Solve the inequality for y (or for x if there is no y). 2) Change the inequality to an equation and graph. 3) If the inequality is < or >, the line is dotted. If the inequality is ≤ or ≥, the line is solid.

Graphing a Linear Inequality Graph the inequality 3 - x > 0 First, solve the inequality for x. 3 - x > 0 -x > -3 x < 3

Graph: x<3 Graph the line x = 3. Because x < 3 and not x ≤ 3, the line will be dotted. Now shade the side of the line where x < 3 (to the left of the line). 6 4 2 3

Graphing a Linear Inequality 4) To check that the shading is correct, pick a point in the area and plug it into the inequality. 5) If the inequality statement is true, the shading is correct. If the inequality statement is false, the shading is incorrect.

Graphing a Linear Inequality Pick a point, (1,2), in the shaded area. Substitute into the original inequality 3 – x > 0 3 – 1 > 0 2 > 0 True! The inequality has been graphed correctly. 6 4 2 3