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# Review topics - PowerPoint PPT Presentation

Review topics. Inequalities. Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0 3. Write – 6 x + 2 y = – 4 in slope-intercept form, and graph. y = 3 x – 2. What is a good definition for Inequality?. Inequalities and their Graphs.

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### Review topics

Inequalities

Graph each inequality.

1. x > –5 2.y ≤ 0

3. Write –6x + 2y = –4

in slope-intercept form,

and graph.

y = 3x – 2

### Inequalities and their Graphs

An inequality is a statement that two expressions are not equal

• Graphing on a number line:

• Graphing on a coordinate graph

Terms you see and need to know to graph inequalities correctly

< less than

Notice open circles

> greater than

≤ less than or equal to

≥ greater than or equal to

Notice colored in circles

Inequities in coordinate planematch each inequality with a graph.

• >

• <

• >

<

x

Objective - To graph linear inequalities in the coordinate plane.

Number Line

Coordinate Plane

-4 -3 -2 -1 0 1 2 3 4

x = 3

x

Number Line

Coordinate Plane

-4 -3 -2 -1 0 1 2 3 4

y = -2

x

Boundary Line

Test a Point

False!

If y = mx + b,

solid

dashed

x

Boundary Line

If y = mx + b,

Dashed line

x

If y = mx + b,

Solid line

x

If y = mx + b,

Dashed line

x

If y = mx + b,

Solid line

x

If y = mx + b,

Dashed line

x

Write the inequality described by the graph below.

-4

If y = mx + b,

+3

Dashed line

to the inequality -2x + 3y < 9.

1) (2, -3)

Yes, (2,-3) is a solution.

2) (3, 5)

No, (3,5) is

not a solution.

If you have less than \$5.00 in nickels and dimes,

find an inequality and sketch a graph to describe

how many of each coin you have.

Let n =# of nickels

Let d =# of dimes

0.05 n + 0.10 d < 5.00

or

5 n + 10 d < 500

5n + 10d <500

n

d

d

50

60

50

40

30

20

10

0

0

100

0

n

0 10 20 30 40 50 60 70 80 90 100