Inequalities and their GraphsInequalities and their Graphs

5x 5x763 542 8

Inequalities and their Inequalities and their GraphsGraphs

Objective: To write and graph simple inequalities with one variable

Inequalities and their GraphsInequalities and their Graphs

763 542 8

What is a good definition for Inequality?

An inequality is a statement that two expressions are not equal

Inequalities and their GraphsInequalities and their Graphs

Terms you see and need to know to graph inequalities correctly

Notice

open circles

< less than

> greater than

Inequalities and their GraphsInequalities 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 GraphsInequalities and their Graphs

Let’s work a few together

3x3

Notice: when variable is on left side, sign shows direction of solution

Inequalities and their GraphsInequalities and their Graphs

Let’s work a few together

7

Notice: when variable is on left side, sign shows direction of solution7x

Inequalities and their GraphsInequalities and their Graphs

Let’s work a few together

-2

Notice: when variable is on left side, sign shows direction of solution

2pColor in circle

Inequalities and their GraphsInequalities and their Graphs

Let’s work a few together

8

Notice: when variable is on left side, sign shows direction of solution8x

Try this one on your ownTry this one on your own

12x

On your OwnOn your Own

12s

On your OwnOn your Own

2m

Answer 1 through 5Answer 1 through 5

6b 1.

On your OwnOn your Own

10x 2.

On your OwnOn your Own

15p 3.

On your OwnOn your Own

25g 4.

On your OwnOn your Own

13x 5.

Answer 6 through 10Answer 6 through 10

6.

b ≤ -7

7.

a > 8

On your OwnOn your Own

8.

q ≥ -5

On your OwnOn your Own

9.

s < 14

On your OwnOn your Own

10.

m ≥ 8

On your OwnOn your Own

Graphing Inequalities

Excellent Job !!! Well Done

Solving One-Step Solving One-Step InequalitiesInequalities

763 542 8

127 x 127 x

Objective: To solve one-step inequalities using

properties for inequalities

Solving One-Step Solving One-Step InequalitiesInequalities

Solving One-Step Solving One-Step InequalitiesInequalities

What are the Properties for Inequalities?

Are they the same as for regular equations?

Solving One-Step Solving One-Step InequalitiesInequalities

76 x 1

Solving One-Step Solving One-Step InequalitiesInequalities

53 x 2

Solving One-Step Solving One-Step InequalitiesInequalities

153 x 3

Solving One-Step Solving One-Step InequalitiesInequalities

59 x 4

Solving One-Step Solving One-Step InequalitiesInequalities

32

1x

5

Solving One-Step Solving One-Step InequalitiesInequalities

73

x 6

Solving One-Step Solving One-Step InequalitiesInequalities

75 x 7

Solving One-Step Solving One-Step InequalitiesInequalities

53

x 8

Solving One-Step Inequalities

Excellent Job !!! Well Done