Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES.

Slides:



Advertisements
Similar presentations
EXAMPLE 4 Graph a linear inequality in one variables Graph the inequality y  –3. SOLUTION Graph the equation y = –3. The inequality is , so use a solid.
Advertisements

9.3 Linear Inequalities in Two Variables. Objective 1 Graph linear inequalities in two variables. Slide
Warm - Up Graph the linear equation 2y + 4x = -2..
6.5 Graphing Linear Inequalities in Two Variables Wow, graphing really is fun!
 Linear Equations in Two Variables  To Graph a Linear Inequality 1)Graph the related linear equality (forms the boundary line).  and  are graphed.
Ch 6.8 Objective: To graph inequalities on the coordinate plane.
Coordinate Graphing System of Linear Inequalities.
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.
Linear Equations in One Variable
Copyright © 2009 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Systems of Linear Inequalities Solving Linear Inequalities in Two Variables.
Systems of Inequalities by Tammy Wallace Varina High School.
2.7 Two-Variable Inequalities. y _____ dashed line. This means that the line is NOT part of the solution. y _____ dashed line. This means that the line.
2.8 Graphing Linear Inequalities in Two Variables
Chapter 6 – Solving and Graphing Linear inequalities
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Graphs and Functions Chapter 3.
8.8 Linear Inequalities, Systems, and Linear Programming.
Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES.
Algebra 2 Graphing Linear Inequalities in Two Variables.
Algebra 2 Section 2.8. Graph the piecewise function. Find the domain and range.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 10 Graphing Equations and Inequalities.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Warm-Up Solve the following Inequalities:
Inequalities. SymbolMeaning Greater Than =Equal Greater Than or Equal To.
ALGEBRA 1 Lesson 6-5 Warm-Up. ALGEBRA 1 “Linear Inequalities” (6-5) What is the solution of an inequality? What is a linear inequality? Solution of an.
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.
GOAL Graphing linear inequalities in two variables.
Graphing a Linear Inequality
§ 2.2 The Addition Property of Equality. Angel, Elementary Algebra, 7ed 2 Linear Equations A linear equation in one variable is an equation that can be.
Algebra I Section 5-6 Graphing 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.
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.
Graphing a Two Variable Inequality. Examining the Solutions of a Linear Equation Are the following points solutions to the equation y = -2x + 3 ? Justify.
Drill Explain how to graph the following line; y = 4x – 3.
EXAMPLE 2 Graph a linear inequality in two variables Graph the inequality y > 4x – 3. STEP 2 0 > 4(0) – 3 ? Test (0, 0) in y > 4x – 3. SOLUTION Graph the.
Graphing Linear Inequalities in 2 Variables By Tristen Billerbeck.
Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.
Solving Linear Inequalities
Type Example Solution Linear equations 2x – 8 = 3(x + 5) A number in one variable x = -23.
Section 7.5 Systems of Linear Inequalities
1.8 Graphing Linear Inequalities
§ 9.4 Linear Inequalities in Two Variables and Systems of Linear Inequalities.
Algebra Bell-work 9/13/17 Turn in your HW! 1.) 7x – 6 = 2x + 9
Graphing Linear Inequalities
Chapter 3 Graphs and Functions
Graphing a Linear Inequality in Two Variables
Algebra: Equations and Inequalities
2.8 Graph Linear Inequalities in Two Variables
2.7 Two-variable inequalities (linear) 3.3 Systems of Inequalities
Section 6.8 Linear Inequalities in Two Variables
Systems of Inequalities
5-6 Graphing Linear Inequalities in Two Variables
6.5 Solving Inequalities by Factoring
Linear Inequalities in Two Variables
Linear Inequalities in Two Variables
2.1 Solving Linear Inequalities
2.1 – 2.2 Solving Linear Inequalities
Chapter 3 Graphs and Functions.
Graphing Linear Inequalities
Graphing Linear Inequalities
Solving Linear Equations and Inequalities
UNIT 6 REVIEW FOR GRAPHING INEQUALITIES TEST
Algebra 2 09/12/16 EQ: How do I graph 2-variable linear inequality
Graphing a Linear Inequality
Objective Graph Linear Equations and Linear Inequalities in Two Variables.
Sullivan Algebra and Trigonometry: Section 12.8
Section Graphing and Solving Systems of Linear Inequalities
Linear Inequalities in Two Variables
Section 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities.
9 Chapter Chapter 2 Inequalities and Absolute Value.
Systems of Inequalities
Presentation transcript:

Algebra 2 – 2.6 LINEAR INEQUALITIES IN 2 VARIABLES

Linear Inequality An inequality that can be written in one of the following forms: y > mx + b y < mx + b y ≥ mx + b y ≤ mx + b In other words, it is the same thing as a linear equation, but with a sign of inequality instead of an equals sign BUT that sure makes for a big difference…

Solution A solution is a point, written as (x, y) that you could plug in and have a true statement of inequality y > 2x + 3 Name three solutions.

The three boxes ALGEBRA LIST OF SOLUTIONS GRAPH

To graph Graph the line just like always Solid or dashed line? Which side should you shade?

Real World Application Change our New York equations into inequalities

COMPREHENSION QUESTIONS You have a gift certificate for $30 to the local movie theater. Matinees are $8 and night shows cost $10. Write and graph an inequality that represents the number of shows you can attend. Give three possible combinations of shows that you could attend.