Project Town Naku Sa Math
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Transcript of Project Town Naku Sa Math
![Page 1: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/1.jpg)
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
![Page 2: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/2.jpg)
The intersection of sets A&B, written as AΩB, is the sets of elements that are in both A&B.
![Page 3: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/3.jpg)
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
![Page 4: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/4.jpg)
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
![Page 5: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/5.jpg)
How do we use the Venn Diagram?
We can use the Venn Diagram in finding union and intersection…
Please press enter to proceed…
![Page 6: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/6.jpg)
Example 1A={5,8} B={8,9,10} AΩB={8}
5
A B
8
9
10
Symbol for intersection
![Page 7: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/7.jpg)
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
![Page 8: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/8.jpg)
Now lets have Exercises!
• Please analyze properly…B={8,5,3}R={23,5,7}
Before you press enter, pls. review your answer…
![Page 9: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/9.jpg)
The answer is…
58
3
23
7
A B
BΩR={5}
![Page 10: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/10.jpg)
Exercise 2…E={100,98,78}T={89,1,67,200}
Remember that this is a really a crucial step so make yourself proud!
![Page 11: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/11.jpg)
You got the answer!
then the answer must be...
E T
100
98
7889
67
2001
0
EΩT={}
![Page 12: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/12.jpg)
Now I remember!!!It was written on slide 7!
Lets review it!
![Page 13: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/13.jpg)
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…
![Page 14: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/14.jpg)
…because there was no intersection, I should have separated the closed circles like this:
![Page 15: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/15.jpg)
Lets try it again!E={100,98,78}T={89,1,67,200}
EΩT={}
100
98
78
89
1
67
200
ET
![Page 16: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/16.jpg)
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
![Page 17: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/17.jpg)
Your answer is…Press enter when your ready.
57
3
34 51
790
4532 78
VΩU={}
V U
![Page 18: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/18.jpg)
Exercise 3If W={67,3,9,90,12}and E={76,3,9,89,12}
Press enter when your ready…
![Page 19: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/19.jpg)
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}
![Page 20: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/20.jpg)
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…
![Page 21: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/21.jpg)
98
Example:If D={78,98,56} and M={67,78}
9878 56
67
WUE={56,98,78,67}
DM
![Page 22: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/22.jpg)
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…
![Page 23: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/23.jpg)
Exercise 2…If C={9,67,34} andN={67,90,45}
98679
34
CN
CUN={9,67,34,90,45}
90
45
![Page 24: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/24.jpg)
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
![Page 25: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/25.jpg)
Exercise 4O={56,78,32} andT={34,4,7}
9856
32
OT
OUT={56,78,32,34,4, 7}
4
7
7834
![Page 26: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/26.jpg)
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
![Page 27: Project Town Naku Sa Math](https://reader035.fdocuments.in/reader035/viewer/2022062313/55bdbb33bb61eb30118b45f0/html5/thumbnails/27.jpg)
I hope you learned!