Inequalities and their Graphs 763542 8 Objective: To write and graph simple inequalities with one variable.

Slides:



Advertisements
Similar presentations
Solving Inequalities.
Advertisements

Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable.
Solving Inequalities Pages Solving Inequalities ● Solving inequalities follows the same procedures as solving equations. ● There are a few.
Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3
 Solving inequalities follows the same procedures as solving equations.  There are a few special things to consider with inequalities: ◦ We need to.
Wednesday, October 27 Objective: Students will identify solutions of inequalities and write inequalities. Today’s Agenda: 1.No homework due today. 2.Fill.
Chapter 4 Inequalities 4.1 Inequalities and Their Graphs.
Goal: Solve linear equations.. Definitions: Equation: statement in which two expressions are equal. Linear Equation (in one variable): equation that.
3.6 Solving Absolute Value Equations and Inequalities
Solving Inequalities Using Addition & Subtraction.
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.
Learning Target: The student will be able to
LINEAR INEQUALITIES. Solving inequalities is almost the same as solving equations. 3x + 5 > x > 15 x > After you solve the inequality,
ABSOLUTE VALUE INEQUALITIES.  Just like absolute value equations, inequalities will have two solutions: |3x - 2| ≤ 7 3x – 2 ≤ x ≤ 9 x ≤ 3 -5/3.
Chapter 4 Lesson 1 Inequalities and their Graphs.
Solving Inequalities and their Graphs
Equations, Properties and Inequalities Review Unit 6 6 th Grade Math.
Solving Inequalities.
Lesson 1.4 Equations and Inequalities Goal: To learn how to solve equations and check solutions of equations and inequalities.
1.4 Solving Inequalities I can: 1.Graph inequalities 2.Solve inequalities.
Inequalities Introduction Algebra Seminar
Solving Inequalities Using Addition & Subtraction.
Solving One-Step Inequalities
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
Solve the following equations for x: 1) 2) 3) 4) 5) 6)
Solving Inequalities. ● Solving inequalities follows the same procedures as solving equations. ● There are a few special things to consider with inequalities:
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:
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
< > < < Solving Inequalities < < < >.
Solving One-Step Inequalities
Solving One-Step Inequalities
< > < < < < < > Solving Inequalities
Inequalities and their Graphs
Inequalities and their Graphs
Graphing Inequalities
Solving One-Step Inequalities
Solving One-Step Inequalities
≤ < > ≥ Solving Inequalities by Multiplying or Dividing
Using Addition & Subtraction
Solving Equations and Inequalities
< > < < < < < > Solving Inequalities
< > < < Solving Inequalities < < < >.
< > < < < < < > Solving Inequalities
Using Addition & Subtraction
Inequalities and their Graphs
Solving Inequalities.
3-1 DAY 1 INEQUALITES & THEIR GRAPHS
Inequalities and their Graphs
Solving Inequalities.
Solving Inequalities.
Using Addition & Subtraction
1.6 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.
Using Addition & Subtraction
1.6 Solving Inequalities.
< > < < < < < > Solving Inequalities
Objective: Write, Graph, and Solve Inequalities
Using Addition & Subtraction
2.3 Solving Inequalities.
Presentation transcript:

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

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

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

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

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

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

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

Try this one on your own

On your Own

Answer 1 through 5 1.

On your Own 2.

On your Own 3.

On your Own 4.

On your Own 5.

Answer 6 through b ≤ -7

7. a > 8 On your Own

8. q ≥ -5 On your Own

9. s < 14 On your Own

10. m ≥ 8 On your Own

Graphing Inequalities Excellent Job !!! Well Done

Solving One-Step Inequalities

Objective: To solve one-step inequalities using properties for inequalities Solving One-Step Inequalities

What are the Properties for Inequalities? Are they the same as for regular equations?

1

2

3

4

5

6

7

8

Excellent Job !!! Well Done