/
REPRESENTING LINEAR INEQUALITIES ON GRAPHS REPRESENTING LINEAR INEQUALITIES ON GRAPHS

REPRESENTING LINEAR INEQUALITIES ON GRAPHS - PowerPoint Presentation

pasty-toler
pasty-toler . @pasty-toler
Follow
383 views
Uploaded On 2015-09-27

REPRESENTING LINEAR INEQUALITIES ON GRAPHS - PPT Presentation

You can represent an inequality on a graph There are some important rules to follow If the inequality is or the boundary line for the region is shown by a solid line If the inequality is gt or lt the boundary line for the region is shown as a ID: 142542

line region unwanted required region line required unwanted shade show remember graph boundary leave examples symbol draw unshaded solid dashed inequality shown

Share:

Link:

Embed:

Download Presentation from below link

Download Presentation The PPT/PDF document "REPRESENTING LINEAR INEQUALITIES ON GRAP..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Slide1

REPRESENTING LINEAR INEQUALITIES ON GRAPHSSlide2

You can represent an inequality on a graph.

There are some important rules to follow.

If the inequality is ≥ or ≤ the boundary line for the region is shown by a

solid

line.

If the inequality is > or < the boundary line for the region is shown as a

broken

(dashed) line.

You are expected to shade the

unwanted

region. (This will leave the required region clear.)Slide3

y

x

-2

-4

-4

-2

2

2

4

4

Examples

1

Show the region

x

≥ 2 on a graph. Leave the required region unshaded.

First draw the boundary line

x

= 2.

The line will be

solid

because

of the ≥ symbol.

required region

Remember to shade the

unwanted

region.Slide4

y

x

-2

-4

-4

-2

2

2

4

4

Examples

2

Show the region

y

< 3 on a graph. Leave the required region unshaded.

First draw the boundary line

y

= 3.

The line will be

dashed

because

of the < symbol.

required region

Remember to shade the

unwanted

region.Slide5

y

x

-2

-4

-4

-2

2

2

4

4

Examples

3

Show the region -3 ≤

x

< 2 on a graph. Leave the required region unshaded.

First draw the boundary lines

x

= -3 and

x

= 2.

The line x = -3 will be

solid

because of the ≤ symbol.

required region

Remember to shade the

unwanted

regions.

The line x = 2 will be

dashed

because of the < symbol.Slide6

y

x

-2

-4

-4

-2

2

2

4

4

Examples

4

Show the region

x

+

y

< 2 on a graph. Leave the required region unshaded.

First draw the boundary line

x

+

y

= 2.

The line will be

dashed

because

of the < symbol.

required region

Remember to shade the

unwanted

region.

x

0

2

y

2

0Slide7

y

x

-2

-4

-4

-2

2

2

4

4

Examples

5

Show the region

y

≥ 2

x

+1 on a graph. Leave the required region unshaded.

First draw the boundary line

y = 2x +

1.

The line will be

solid

because

of the ≥ symbol.

required region

Remember to shade the

unwanted

region.

x

0

1

2

y

1

3

5Slide8

6

A region R, contains points whose coordinates satisfy the following inequalities.

x

≥ -4

y

> -1

x

+ 2

y

≤ 2 On a graph draw suitable lines and label the region R.

y

x

-2

-4

-4

-2

2

2

4

4

Examples

First show the region

x

≥ -4 on the graph (remember to shade the unwanted region).

x

0

2

y

1

0

Next show

y

> -1 (remember to

shade the unwanted region).

Then show

x

+ 2

y

≤ 2 (remember

to shade the unwanted region).

R