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Sets & venn diagrams

1,229

•

25 Sept 2023

•

1 page

Wie man Venn-Diagramme mit 3 Kreisen liest und zeichnet

user profile picture

Aanya Patel

@aanya

Venn diagrams are visual representations used in mathematicsto illustrate... Show more

Venn Diagram A A AUB AL (AUB)' AnB AB A A A TO TOD B A B Co B B DO A Ⓒ A A CO B B B B B B 6. An B 3' ✓ (AMB)! AUB (AUB)U (ANB)

Venn Diagram Notation and Operations

This page provides a comprehensive overview of Venn diagram notation and operations, focusing on two-set and three-set diagrams. The illustrations demonstrate various set relationships and operations, which are fundamental in set theory and logic.

Definition: A Venn diagram is a graphical representation of sets using overlapping circles or other shapes to show relationships between different groups of things.

The diagram showcases several key concepts:

  1. Set Representation: Individual sets are represented by circles labeled A and B.
  2. Union AUBAUB: This operation combines all elements from both sets A and B.

Vocabulary: The union of two sets A and B, denoted as AUB, includes all elements that belong to either A or B or both.

  1. Intersection AnBAnB: This represents the elements common to both sets A and B.

Example: In a Venn diagram intersection, the overlapping region of circles A and B represents AnB.

  1. Complement: The complement of a set, denoted with a prime symbol ′', represents all elements not in that set.

Highlight: The complement of the union AUBAUB' is a crucial concept in set theory, representing all elements that are neither in A nor in B.

  1. Exclusive Regions: Areas within one circle but outside the other represent elements unique to that set.

The page also illustrates more complex operations:

  1. Three-Set Venn Diagrams: These show relationships between three sets, often labeled A, B, and C.

Vocabulary: In a three-circle Venn diagram, the central region where all circles overlap represents the intersection of all three sets AnBnCAnBnC.

  1. Shading: Different regions are shaded to represent specific set operations or combinations.

Understanding these notations and operations is crucial for solving problems involving set theory, logic, and probability. Students can use this visual guide to interpret and construct Venn diagrams for various mathematical and logical scenarios.

Example: A Venn diagram union of 3 sets would include all elements from sets A, B, and C, represented by the entire area covered by all three circles.

This comprehensive overview of Venn diagram notation provides a solid foundation for students to tackle more complex problems in set theory and related mathematical fields.



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4.9/5

App Store

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

Subjects

Maths

Probability

Sets & venn diagrams

 

Maths

•

1,229

•

25 Sept 2023

•

1 page

Wie man Venn-Diagramme mit 3 Kreisen liest und zeichnet

user profile picture

Aanya Patel

@aanya

Venn diagrams are visual representations used in mathematics to illustrate relationships between sets. This summary explores various Venn diagram notations and operations, including union, intersection, and complement.

  • Venn diagrams use overlapping circles to show set relationships
  • Key... Show more

Venn Diagram A A AUB AL (AUB)' AnB AB A A A TO TOD B A B Co B B DO A Ⓒ A A CO B B B B B B 6. An B 3' ✓ (AMB)! AUB (AUB)U (ANB)

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Venn Diagram Notation and Operations

This page provides a comprehensive overview of Venn diagram notation and operations, focusing on two-set and three-set diagrams. The illustrations demonstrate various set relationships and operations, which are fundamental in set theory and logic.

Definition: A Venn diagram is a graphical representation of sets using overlapping circles or other shapes to show relationships between different groups of things.

The diagram showcases several key concepts:

  1. Set Representation: Individual sets are represented by circles labeled A and B.
  2. Union AUBAUB: This operation combines all elements from both sets A and B.

Vocabulary: The union of two sets A and B, denoted as AUB, includes all elements that belong to either A or B or both.

  1. Intersection AnBAnB: This represents the elements common to both sets A and B.

Example: In a Venn diagram intersection, the overlapping region of circles A and B represents AnB.

  1. Complement: The complement of a set, denoted with a prime symbol ′', represents all elements not in that set.

Highlight: The complement of the union AUBAUB' is a crucial concept in set theory, representing all elements that are neither in A nor in B.

  1. Exclusive Regions: Areas within one circle but outside the other represent elements unique to that set.

The page also illustrates more complex operations:

  1. Three-Set Venn Diagrams: These show relationships between three sets, often labeled A, B, and C.

Vocabulary: In a three-circle Venn diagram, the central region where all circles overlap represents the intersection of all three sets AnBnCAnBnC.

  1. Shading: Different regions are shaded to represent specific set operations or combinations.

Understanding these notations and operations is crucial for solving problems involving set theory, logic, and probability. Students can use this visual guide to interpret and construct Venn diagrams for various mathematical and logical scenarios.

Example: A Venn diagram union of 3 sets would include all elements from sets A, B, and C, represented by the entire area covered by all three circles.

This comprehensive overview of Venn diagram notation provides a solid foundation for students to tackle more complex problems in set theory and related mathematical fields.

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user