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Unit 10 Logic and

Venn DiagramsVenn Diagram: Example

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Using the numbers 0, 1, 2, , illustrate

the sets: and

Solution: "se a Venn #iagram

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Using the numbers 0, 1, 2, , illustratethe sets: and

$ %

4 is in %&T' si#es

4

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Using the numbers 0, 1, 2, , illustrate

the sets: and

$ %

( an# ) are only in set $

4

(

)

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Using the numbers 0, 1, 2, , illustratethe sets: and

$ %

1* 2* 3 an# ! are only in set %

4

(

)

1

23

!

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Using the numbers 0, 1, 2, , illustratethe sets: and

$ %

+* , an# - are not in $ or %

4

(

)

1

23

!

+

,

-

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Venn Diagrams: Example

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Presentation2

Venn Diagrams: Key Defnitions

Presentation3

Venn Diagrams: Illustrating Sets

Presentation4 Venn Diagrams: Theoretial Ex

ample

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Unit 10 Logic and

Venn DiagramsVenn Diagram: &e' De#initions

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$ %

Intersetion: /em0ers o 0oth set $an# set %

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$ %

"nion: /em0ers o set $ or set % or0oth

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omplementary: /em0ers not in theset

$

$

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"niersal Set: $ll mem0ers

"

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$

%

Su0set: $ll mem0ers o set $ are inset %

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(umber o# elements in a set:

Empt' set:

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Presentation1

Venn Diagrams: Example

Presentation3

Venn Diagrams: Illustrating Sets

Presentation4

Venn Diagrams: TheoretialExample

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Unit 10 Logic and

Venn DiagramsVenn Diagrams: )llustrating *ets

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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$ %

"

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Venn Diagrams: )llustrating *ets

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Venn Diagrams: Example

Presentation2

Venn Diagrams: Key Defnitions

Presentation

4

Venn Diagrams: Theoretial

Example

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Unit 10 Logic and

Venn DiagramsVenn Diagrams: +heoretical

Example

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$ %

"

5hat is the sha#e# region6

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$ %

"

5hat is the sha#e# region6

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$ %

"

5hat is the sha#e# region6

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$ %

"5hat is the sha#e# region6

-./

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$ %

"5hat is the sha#e# region6

-./

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$ %

"5hat is the sha#e# region6

-/.

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Example

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Venn Diagrams: Key Defnitions

Presentation

3

Venn Diagrams: Illustrating

Sets

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Unit 10 Logic and

Venn DiagramsVenn Diagram: %ractical Example

"

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U 3(atural (umbers less than 145

Describe set . and set

. 3E"en (umbers5

3%rime (umbers5

$ %

4

1+

1

4,

1

2 -

2 13!

(

3

11

1

1!

)"

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"

26

20

17

14

24

12

16

27

80

10

29

19

21

2

18

1

11

2

1

Describe *ets U, ., and -

U 310,11,12,18,17,;;;;;;;;2,805

. 3E"en (umbers5

3

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Venn Diagrams: %ractical

Example

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Venn Diagrams: Example

Presentation2

Venn Diagrams: Key Defnitions

Presentation

3

Venn Diagrams: Illustrating

S t