Y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4.

Slides:



Advertisements
Similar presentations
3-3 Solving Systems of Inequalities by Graphing
Advertisements

SOLUTION EXAMPLE 1 Graph a system of two linear inequalities Graph the system of inequalities. y > –x – 2 y  3x + 6 Inequality 1 Inequality 2 Graph both.
Graph the system of inequalities.
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.
Graphing Linear Inequalities. Objectives How do we graph an inequality Define a boundary line Graphing a boundary line Define the solution for an inequality.
Graphing A System Linear 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.
7.6 Solving Systems of Linear Inequalities. Remember How to Sketch the graph of 6x + 5y ≥ 30… 1.Write in slope- intercept form and graph: y ≥ - 6 / 5.
EOC Practice #18 SPI EOC Practice #18 Solve systems of linear equations/inequalities in two variables.
Unit 1 Test Review Answers
Algebra 2 Graphing Linear Inequalities in Two Variables.
Graphing Linear Inequalities Objective- To graph inequalities on the coordinate plane.
3.6 Solving Absolute Value Equations and Inequalities
Chapter 1 - Fundamentals Inequalities. Rules for Inequalities Inequalities.
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.
Example 4 You have $10 to spend on reprints of a picture you took in Pfeiffer Big Sur State Park. You would like to send one copy to at least 12 friends.
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.
x y Example 1 x y X = 3.
Chapter 2 Section 2.7. Objectives To draw graphs of inequalities in two variables. Use a graphing calculator to graph linear inequalities.
Math Graphing Linear Inequalities in Two Variables 1.
7.5 Solving Systems of Inequalities by Graphing Steps Intersecting Regions Separate Regions.
Graphing Linear Inequalities Review: One variable inequality and graph 1.) x > 2 2.) x
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.
Warm Up Solve the system by elimination: 4x – 6y = 2 5x + 3y = 1.
Solving Systems of Equations Graphing Linear Inequalities.
Warm-Up 3.3 1) Graph y < -x + 1 2) Graph the system.
4.3 Solving Systems of Linear Inequalities 11/7/12.
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.
Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l
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.
Objectives: Graph (and write) inequalities on a number line.
Solve: 1) x + 5 = 9. x + 5 > 9 2) y – 6 = -3
Graphing a System of Inequalities
6-6 Systems of Linear Inequalities
2.) Is x = –5 a solution to 3x < - 12?
Linear Inequalities in Two Variables
Notes Over 2.1 Graph the numbers on a number line. Then write two inequalities that compare the two numbers and and 9 l l l.
Graphing Linear Inequalities
Graphing Linear Inequalities
GRAPHING LINES... (well sorta).
Learning Target I can solve systems of linear inequalities by graphing.
3-3 Optimization with Linear Programming
3.4 – Linear Programming.
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Bell Ringer Graph and shade the linear inequality. y> 2 3
3.3 Graph Systems of Linear Inequalities
0.4 Solving Linear Inequalities
Objective The student will be able to:
Graphing Systems of Linear Inequalities
Graphing and Solving Systems of Linear Inequalities
Graphing Inequalities
1.5 Linear Inequalities.
Objective The student will be able to:
Solve Systems of Linear Inequalities
Graphs of Linear Inequalities
UNIT 6 REVIEW FOR GRAPHING INEQUALITIES TEST
Unit 1 Representing Real Numbers
7.6 Graphing Systems of Linear Inequalities
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Quadratic Systems. What you’ll learn
Algebra 1B – Name: _________________________
2.8 Graphing Linear and Absolute Value Inequalities
2-8: Two Variable Inequalities
3(9z + 4) > 35z – 4 Original problem. Solve each inequality. Then graph the solution set on the number line. 3(9z + 4) > 35z – 4 Original problem.
ALGEBRA I - REVIEW FOR TEST 2-1
Line Graphs.
Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.
3.3 Graphing and Solving Systems of Linear Inequalities
Presentation transcript:

y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Example 1 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4 X = 3

Example 2 y 4 3 2 1 -4 -3 -2 -1 y = -1 x -4 -3 -2 -1 0 1 2 3 4

Question 1 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 2 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 3 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 4 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 5 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 6 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 7 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 8 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 9 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Question 10 y 4 3 2 1 -4 -3 -2 -1 x -4 -3 -2 -1 0 1 2 3 4

Answers x = -2 y = 1 x = 4 y = -2 y = 3 x = -1 y = -3 x = 0 y = 0

Linear inequalities

y 4 3 2 1 -4 -3 -2 -1 This line is x=2 The region of the graph this side of the line is x > 2 The region of the graph this side of the line is x < 2 x -4 -3 -2 -1 0 1 2 3 4

y 4 3 2 1 -4 -3 -2 -1 This line is y=x+2 The region of the graph this side of the line is y > x+2 x The region of the graph this side of the line is y < x+2 -4 -3 -2 -1 0 1 2 3 4