set theory n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Set Theory PowerPoint Presentation
Download Presentation
Set Theory

Loading in 2 Seconds...

play fullscreen
1 / 9

Set Theory - PowerPoint PPT Presentation


  • 143 Views
  • Uploaded on

Set Theory. A2 Set Functions. Set Functions. Everything together. What they have the SAME. What is NOT in the set (cross out). Examples. 1. Given P = {1, 3, 5, 7, 9} and Q = {0, 2, 4, 6, 8}, find Intersection of P and Q ___________________ Union of P and Q ________________________.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Set Theory' - thi


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
set theory

Set Theory

A2 Set Functions

set functions
Set Functions

Everything together

What they have the SAME

What is NOT in the set (cross out)

examples
Examples

1. Given P = {1, 3, 5, 7, 9} and Q = {0, 2, 4, 6, 8}, find

Intersection of P and Q ___________________

Union of P and Q ________________________

{ }

Do NOT write 0!

{ 0,

1,

2,

3,

4,

5,

6,

7,

8,

9

}

What they have the SAME

Everything together

No

They have nothing the same

Need to write it in ORDER

This is called the Empty set

examples1
Examples

2. Given A = {0, 2, 4, 6, 8, 10} B = {0, 2, 3, 5, 6} C = {0, 1, 2, 3, 4, 5}

  • What is A∩B? _________________________

b. What is A∩B∩C? ________________________

c. What is BUC? ___________________________

d. What is AUB? ___________________________

{

0

, 2

, 6

}

{

0

, 2

}

{

0

, 1

, 2

, 3

, 4

, 5

, 6

}

{

0

, 2

, 3

, 4

, 5

, 6

, 8

, 10

}

examples2
Examples

X

X

X

X

3. Given: Set U = {1, 2, 3, 4, 5, 6, 7, 8}

Set B = {2, 3, 5, 6}

Set B is a subset of set U, what is the compliment of set B?

a. { } c. {2, 3, 5, 6}

b. {1, 4, 7, 8} d. {1, 2, 3, 4, 5, 6, 7, 8}

What is NOT in the set

Cross out everything that is in the SUBSET

What is left?

slide6

4. Given:

A = {all even integers from 2 through 20, inclusive}

B = {2, 6, 10, 14, 16}

What is the complement of set B within set A?

a. {2, 6, 10, 14, 16}

  • {4, 8, 12, 18}
  • {4, 8, 12, 18, 20}

d. {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

2

X

4

6

X

8

10

X

12

14

X

16

X

18

20

examples3
Examples

5. Given

Find the intersection of A and B ___________

Find A U C ____________________________

Find the intersection of A, B, and C __________

{ 1, 2, 3}

{ 1, 2, 3, 4, 5, 6, 7, 9}

{ 1, 3}

What they have the SAME

Union

What they have the SAME

Everything together

Everything that is blue

examples4
Examples

6. Maureen tracks the range of outdoor temperatures over three days. She records the following information. Express the intersection of the three sets as an inequality in terms of temperature t _______________

0

≤ ≤

t

40

What they have the SAME

Do they all have 0?

Do they all have 40?

Do they all have 45?

Do they all have 50?

Do they all have -20?

Do they all have -23?

No

Yes

Yes

No

No

No

practice problems
Practice Problems

Now try the practice problems on your own