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

5.8 Quadratic Inequalities
SYSTEMS OF LINEAR INEQUALITIES
Warm - Up Graph the linear equation 2y + 4x = -2..
Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.
Graphing and Solving Inequalities In Two Variables = Medina 1/06/09 ( Revised:1/3/10 DM)
7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.
CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.
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.
Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.
Chapter 6 – Solving and Graphing Linear inequalities
Chapter 7 Section 5 Graphing Linear Inequalities.
Chapter 2 Section 7 Two-Variable Inequalities. Linear Inequality Linear Inequality – an inequality in two variables whose graph is a region of the coordinate.
GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages
SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.
Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities Chapter 5 – Quadratic Functions and Inequalities 5.8 – Graphing and Solving Quadratic.
3.4 Solving Systems of Linear Inequalities
Solving Linear Systems by Substitution O Chapter 7 Section 2.
CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.6 – SOLVING COMPOUND AND ABSOLUTE VALUE INEQUALITIES Unit 1 – First-Degree Equations and Inequalities.
Section 4.4 Inequalities in Two Variables
Warm - Up Solve the system algebraically: x + ½y = 5 3y – 2x = 6.
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.
SILENTLY Algebra 1 19 April 2011 SILENTLY Homework due next class: pg. 318: 8, 14 Warm up: Solve each inequality for y: 1) 84x + 7y > 70 2) 4.8x – 0.12y.
Homework out to check Solve the following 1.l 9 +x l < 7 2.l 2x + 3 l > 3 3.X = 7 is this a solution 2x – 4 >19? Yes or no 4.X = 4 is this a solution -5x.
+ 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 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.
SystemsOfInequalities. 7-1 Solving Systems by Graphing What is a system of linear equations? “SOLUTION” No solution Infinitely Many Solutions Page 342.
Chapter 4: Systems of Equations and Inequalities Section 4.7: Solving Linear Systems of Inequalities.
Graphing Linear Inequalities in Two Variables Objective: Graph all of the solutions to a linear inequality.
Chapter 8 Systems of Linear Equations in Two Variables Section 8.3.
9.5 Inequalities in Two Variables  Two Key Terms  Two Objectives.
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.
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.
Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.
Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 4 Solving Absolute-Value Equations and Inequalities.
CHAPTER 5 SECTION 3 Writing Linear Equations Using Two Points.
Solving Linear Inequalities
Graphing Linear Equations
Objective The student will be able to:
Algebra 1 Section 6.5 Graph linear inequalities in two variables.
3.3 – Solving Systems of Inequalities by Graphing
Bell Work Solve the system of equations using elimination. 3x – 4y = 10 3y = 2x - 7.
6-6 Systems of Linear Inequalities
Chapter 7 – Systems of Linear Equations and Inequalities
6-5 Linear Inequalities.
SYSTEMS OF LINEAR INEQUALITIES
Solve a system of linear equation in two variables
Graphing Linear Inequalities.
2.7 Two-variable inequalities (linear) 3.3 Systems of Inequalities
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Solution Solution Checking Solutions of Inequalities
Writing Linear Equations Using Two Points
Linear Inequalities in Two Variables
Warm- up #38 Graph on the same coordinate plane: 1.) 5x +2y < -10
of Linear Inequalities
Solve Systems of Linear Inequalities
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Graphing a Linear Inequality
Algebra 1B – Name: _________________________
6.6 Systems of Linear Inequalities
Warm-Up #27 1) 2x + 2y= 2 x - y = 3 use substitution 2) Evaluate f x = −x 2 −3x+12;x=2 3) Use f(x) = −4x 2 + x -13 and h(x) 2x + 5; find (f−h)
Section Graphing and Solving Systems of Linear Inequalities
Graphs of Quadratic Functions
Graph Linear Inequalities in Two Variables
Warm-Up #8 Solve for y: 2y – x = 4 5 – y = 6x y – 2x = 6.
Tell whether the ordered pair is a solution of the equation.
Chapter 2 Section 7 Two-Variable Inequalities
6-6 Systems of Linear Inequalities
Presentation transcript:

Warm-Up: Solve and Graph  1.  2.

CHAPTER 6 SECTION 5 Graphing Linear Inequalities in Two Variables

Inequality Review  Graph the following Inequalities Examples:

Checking Solutions of a Linear Inequality  Is (0,0) a solution of ?  Is (2,-1) a solution of

Graphing Inequalities: 2 variables  STEPS:  Rewrite equation in slope-intercept form y=mx+b  Graph the equation  Choose a point to check  Shade in the correct area is a dotted line ≤ or ≥ is a solid line

Examples  1. Graph the inequality  Step 1:  Graph  Check: Point (0,0)  Shade:

Examples:  2.  3.

Examples:  4.  5.

Examples:  6.  7.

Examples:  8.  9.

Partner Class Work  3 kids- Page 363 #10, 23  3 kids- Page 363 # 8, 24  3 kids- Page 363 #11, 25  3 kids- Page 363 #12, 26  Graph the Inequalities and explain your reasoning on how you solved it

Homework  Page 363 # all, even