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!
Top Related