Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.

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

Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.
Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = x = 14 x = 7 One Solution.
EOC Practice #18 SPI EOC Practice #18 Solve systems of linear equations/inequalities in two variables.
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.
3.1 Solve Linear Systems by Graphing. Vocabulary System of two linear equations: consists of two equations that can be written in standard or slope intercept.
Slide Systems of Linear Equations A system of linear equations consists two or more linear equations.
13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?
Class Greeting. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations.
Notes Over 2.6 Checking Solutions of Inequalities Check whether the given ordered pairs are solutions of the inequality.
SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.
5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.
Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.
Basic Inequality Rules If A > B Then A+/-C > B +/-C Example 8 >7 so 8+2 >7+2 If A < B Then A +/-C < B +/-C Example 5 < 7 so 5-2 < 7-2 If A > B Then A*/÷C.
3.6 Solving Absolute Value Equations and Inequalities
Solving Open Sentences Involving Absolute Value
1.7 Linear Inequalities.  With an inequality, you are finding all values of x for which the inequality is true.  Such values are solutions and are said.
Systems of Linear Equations in Two Variables. 1. Determine whether the given ordered pair is a solution of the system.
Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:
+ 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.
SystemsOfInequalities. 7-1 Solving Systems by Graphing What is a system of linear equations? “SOLUTION” No solution Infinitely Many Solutions Page 342.
Practice 6.7. Solve the inequality and graph your solution #1 AND OR.
4.3 Solving Systems of Linear Inequalities 11/7/12.
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.
Lesson 4-1 Solving linear system of equations by graphing
Linear Inequalities in One Variable
3.3 – Solving Systems of Inequalities by Graphing
Warm Up Solve each inequality for y. 1. 8x + y < 6
6-6 Systems of Linear Inequalities
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.
Lesson 37: Absolute Value, pt 2 Equations
Solving Inequalities by Multiplying or Dividing
2.6 Linear Inequalities in Two Variables
ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)
Solutions to Systems of Equations
Absolute Value inequalities
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Solution Solution Checking Solutions of Inequalities
Systems of Linear Equations in Two Variables
Graphing systems of linear equations and inequalities
Solving Systems of 5-6 Linear Inequalities Warm Up Lesson Presentation
Lesson Objective: I will be able to …
Objective Graph and solve systems of linear inequalities in two variables.
1.5 Linear Inequalities.
Solving Systems of 5-6 Linear Inequalities Warm Up Lesson Presentation
Indicator 16 System of Equations.
Objectives Identify solutions of linear equations in two variables.
5.1 Solving Systems of Equations by Graphing
Objective - To graph linear equations using x-y charts.
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Warm-Up 1) Sketch a graph of two lines that will never intersect.
ALGEBRA I - SECTION 6-6 (Systems of Linear Inequalities)
Solving 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
Section 6.6 Day 1 Solving Systems of Inequalities
3.3 Notes – Graph Systems of Linear Inequalities
L3-3 Objective: Students will graph systems of linear inequalities
Objective: Students will solve systems by graphing
Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing
Graph Linear Inequalities in Two Variables
Give the solution to each inequality.
Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing
Lesson 0 – 8 Systems of Linear Equations
Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.
Presentation transcript:

Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of a linear inequality: ______________________ ________________________________________________

Determine whether the ordered pair is a solution of the inequality. 1. (–2, 4); y x – 4

Determine whether the ordered pair is a solution of the inequality. 3. (4, 5); y x – 7

Because there are an infinite number of solutions to a linear inequality, we need to graph the linear inequality to show all of the solutions.

GRAPHING LINEAR INEQUALITIES Step 1Example: y  2x – 3 Step 2 Step 3

Graph the solutions to the given linear inequalities. 5. 5x + 2y > –8 6. 4x – y + 2 ≤ 0

Graph the solutions to the given linear inequalities. 7. 4x – 3y > 12 8.

Write a linear inequality to represent the given graph

Write a linear inequality to represent the given graph