Inequalities and their Graphs

Slides:

Advertisements

Similar presentations

Solving Inequalities.

Advertisements

Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable.

Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3

6EE. 8 INEQUALITIES Expressions and Equations!. Objectives! Content  Graph inequalities.

Wednesday, October 27 Objective: Students will identify solutions of inequalities and write inequalities. Today’s Agenda: 1.No homework due today. 2.Fill.

Inequalities. SymbolMeaning Greater Than =Equal Greater Than or Equal To.

InequalitiesInequalities. An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: Inequalities work like equations,

Inequalities Symbols and line graphs. Symbols  < is less than  > is greater than  < is less than or equal to  > is greater than or equal to points.

Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable.

Solving Inequalities and their Graphs

Lesson 1.4 Equations and Inequalities Goal: To learn how to solve equations and check solutions of equations and inequalities.

Inequalities and their Graphs Symbols SymbolMeaningGraph < Less thanOpen circle > Greater thanOpen circle ≤ Less than or equal to Closed circle.

1.4 Solving Inequalities I can: 1.Graph inequalities 2.Solve inequalities.

Inequalities Introduction Algebra Seminar

Ch 6.1 One Step Inequalities (Addition) Objective: To solve and graph simple inequalities involving addition/subtraction.

Intro to Inequalities Unit 4 Section 4.1. Definition A statement that a mathematical expression is greater than or less than another expression.

Chapter 11: Graphing. Bar Charts Pie Charts Line Graphs.

Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable.

Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l

Solving Inequalities   Trichotomey Property- For any two real numbers, a and b, exactly one of the following statements is true: a b.  Set-Builder.

Bell Ringer: 8/17/15  Solve the following equation:

Warm Up Solve each equation. 1. –5a = Graph each inequality. 5. x ≥ –10 6. x < –3 –6 –

Equations and Inequalities. Unit 8 – Solving Inequalities.

Inequalities and Their Graphs Objective: graph and determine solutions of inequalities.

Linear Equations / Inequalities – graphing the solution set

LT: I can solve and graph inequalities.

< > < < Solving Inequalities < < < >.

< > < < < < < > Solving Inequalities

Inequalities and their Graphs

Inequalities and their Graphs

Graphing Inequalities

≤ < > ≥ Solving Inequalities by Multiplying or Dividing

Using Addition & Subtraction

Compound Inequalities

Solving Equations and Inequalities

Inequalities and Their Graphs

< > < < < < < > Solving Inequalities

< > < < Solving Inequalities < < < >.

< > < < < < < > Solving Inequalities

Using Addition & Subtraction

Section 5.1 Solving inequalities

Solving Inequalities.

3-1 DAY 1 INEQUALITES & THEIR GRAPHS

Inequalities and their Graphs

6.1 to 6.3 Solving Linear Inequalities

Solving and Graphing Linear Inequalities

3-1 Inequalities and their Graphs

6.1 to 6.3 Solving Linear Inequalities

Solving Inequalities.

Inequalities and their Graphs

Solving Inequalities.

Using Addition & Subtraction

1.6 Solving Inequalities.

< > < < < < < > Solving Inequalities

1.6 Solving Inequalities.

Solving Inequalities.

< > < < Solving Inequalities < < < >.

1.6 Solving Inequalities.

Solving Inequalities Solving inequalities follows the same procedures as solving equations. There are a few special things to consider with.

Inequalities and their Graphs

1.6 Solving Inequalities I’ve taught you my way of solving inequalities but here’s another way to make you an even stronger math student!

Using Addition & Subtraction

1.6 Solving Inequalities.

< > < < < < < > Solving Inequalities

1.3:Solving and Graphing Linear Inequalities

Objective: Write, Graph, and Solve Inequalities

Using Addition & Subtraction

2.3 Solving Inequalities.

Presentation transcript:

Inequalities and their Graphs 2 3 4 5 6 7 8

Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable

Inequalities and their Graphs What is a good definition for Inequality? An inequality is a statement that two expressions are not equal 2 3 4 5 6 7 8

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly < less than Notice open circles > greater than

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly ≤ less than or equal to ≥ greater than or equal to Notice colored in circles

Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 3

Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 7

Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution Color in circle -2

Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 8 Color in circle

Try this one on your own

12

On your Own

12

On your Own

2

Answer 1 through 5 1.

On your Own 2.

On your Own 3.

On your Own 4.

On your Own 5.

Answers: 1 through 5 1. 2. 3. 4. 5. 10 -6 25 -15 13

Answer 6 through 10 6. b ≤ -7

On your Own 7. a > 8

On your Own 8. q ≥ -5

On your Own 9. s < 14

On your Own 10. m ≥ 8

Answers: 6 through 10 6. 7. 8. 9. 10. -7 8 -5 14 8

Graphing Inequalities Excellent Job !!! Well Done