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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

Review topics

Inequalities


Review topics

Warm Up

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

What is a good definition for Inequality?

Inequalities and their Graphs

An inequality is a statement that two expressions are not equal



Two types
Two types

  • Graphing on a number line:

  • Graphing on a coordinate graph


Review topics

Inequalities and their Graphs

Terms you see and need to know to graph inequalities correctly

< less than

Notice open circles

> greater than


Review topics

Inequalities and their Graphs

≤ less than or equal to

≥ greater than or equal to

Notice colored in circles


Inequities in coordinate plane match each inequality with a graph
Inequities in coordinate planematch each inequality with a graph.

  • >

  • <

  • >

<


Objective to graph linear inequalities in the coordinate plane

y

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


Review topics

y

x

Number Line

Coordinate Plane

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

y = -2


Review topics

y

x

Boundary Line

Test a Point

False!


Review topics

If y = mx + b,

solid

dashed

shade up

shade down


Review topics

y

x

Boundary Line

If y = mx + b,

Dashed line

Shade up


Review topics

y

x

If y = mx + b,

Solid line

Shade up


Review topics

y

x

If y = mx + b,

Dashed line

Shade down


Review topics

y

x

If y = mx + b,

Solid line

Shade up


Review topics

y

x

If y = mx + b,

Dashed line

Shade up


Review topics

y

x

Write the inequality described by the graph below.

-4

If y = mx + b,

+3

Dashed line

Shade Down


Review topics

Determine whether the given point is a solution

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.


Review topics

Problem

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


Review topics

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


Test yourself
Test Yourself

  • Click here to go through a multiple choice question set


On your own
On your own:

  • Review your notes. Rewrite and fortify them if needed.

  • Update your vocab list, if needed.

  • See worksheet handed out in class.