Venn DiagramVenn Diagram“1-3 Operation with “1-3 Operation with

sets”sets”

Venn DiagramVenn Diagram“1-3 Operation with “1-3 Operation with

sets”sets”

By: Bret MonsantoBy: Bret Monsanto

The intersection of sets A&B, written as AΩB, is the sets of elements that are in both A&B.

How can sets be illustrated?

• Relations between sets can be illustrated through Venn Diagrams (named after John Venn).

AΩB={5}

A={1,3,5}

B={5,7,9}

Example:

51

3

7

9

A B

What are the contents of a Venn Diagram?

• In a Venn Diagram each set is represented by a circle or another closed figure.

Circle (Closed Figure)

Box

How do we use the Venn Diagram?

We can use the Venn Diagram in finding union and intersection…

Please press enter to proceed…

Example 1A={5,8} B={8,9,10} AΩB={8}

5

A B

8

9

10

Symbol for intersection

What if there is no Intersection?

then…If A={1,5,8} and B={9,11,4}

A

AΩB ={}

1

58

9

11

4

Empty Bracket

B

Separated figures

Now lets have Exercises!

• Please analyze properly…B={8,5,3}R={23,5,7}

Before you press enter, pls. review your answer…

The answer is…

58

3

23

7

A B

BΩR={5}

Exercise 2…E={100,98,78}T={89,1,67,200}

Remember that this is a really a crucial step so make yourself proud!

You got the answer!

then the answer must be...

E T

100

98

7889

67

2001

0

EΩT={}

Now I remember!!!It was written on slide 7!

Lets review it!

If there is no Intersection?

then…If A={1,5,8} and B={9,11,4}

A

AΩB ={}

1

58

9

11

4

Empty Bracket

B

Separated figures

Slide 7…

…because there was no intersection, I should have separated the closed circles like this:

Lets try it again!E={100,98,78}T={89,1,67,200}

EΩT={}

100

98

78

89

1

67

200

ET

Now that were ready, LETS DO another

Exercise!If V={57,3,34,51,7} and

U={90,45,32,78}

Note: In this stage your alone to solve your problems

Your answer is…Press enter when your ready.

57

3

34 51

790

4532 78

VΩU={}

V U

Exercise 3If W={67,3,9,90,12}and E={76,3,9,89,12}

Press enter when your ready…

Your answer is…W={67,3,9,90,12}and E={76,3,9,89,12}

67 39

9012

76

89

W E

WΩE={3,9,12}

Now that were done with Intersection, now its time

that we learn Union.Remember that union is symbolized

as Uand is used and symbolized as for

example…

98

Example:If D={78,98,56} and M={67,78}

9878 56

67

WUE={56,98,78,67}

DM

Exercise one 1:If A={1,5,8}and B={9,5,1}

985 9

8

AB

1

AUB={8,5,1,9}

Your answer is…

Exercise 2…If C={9,67,34} andN={67,90,45}

98679

34

CN

CUN={9,67,34,90,45}

90

45

Exercise 3If F={45,21,1,3} andJ={86,67,32}

98145

21

FJ

FUJ={45,21,1,3,86,67,32}

86

67

332

Exercise 4O={56,78,32} andT={34,4,7}

9856

32

OT

OUT={56,78,32,34,4, 7}

4

7

7834

Last Exercise…If Y={9,8,7,6} andH={1,2,3,4}

989

6

YH

YUH={9, 8,7,6,1,2, 3,4}

1

7

82

3 4

I hope you learned!