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Questions and Answers
What is the purpose of Venn diagrams in set theory?
What is the purpose of Venn diagrams in set theory?
What is the set {Moscow, London, Cairo, Delhi, …} an example of?
What is the set {Moscow, London, Cairo, Delhi, …} an example of?
What is the set {euro, dollar, yen, …} an example of?
What is the set {euro, dollar, yen, …} an example of?
What is the intersection of two sets represented by in a Venn diagram?
What is the intersection of two sets represented by in a Venn diagram?
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What is the set {Barcelona, Real Madrid, Benfica, Ajax, Juventus} an example of?
What is the set {Barcelona, Real Madrid, Benfica, Ajax, Juventus} an example of?
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What is the set {Beethoven, Mozart, Greig, Brahms} an example of?
What is the set {Beethoven, Mozart, Greig, Brahms} an example of?
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What is the purpose of a Venn diagram in set theory?
What is the purpose of a Venn diagram in set theory?
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What does the symbol ∩ represent in set theory?
What does the symbol ∩ represent in set theory?
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Study Notes
Set Notation and Venn Diagrams
- A set can be described in words, and additional elements can be added to it.
- Example sets include:
- {Moscow, London, Cairo, Delhi, …} (cities)
- {euro, dollar, yen, …} (currencies)
- {Barcelona, Real Madrid, Benfica, Ajax, Juventus} (football teams)
- {Beethoven, Mozart, Greig, Brahms} (composers)
Venn Diagrams
- A Venn diagram can be used to represent sets and their relationships.
- Example:
- Set A and Set B can be described in words based on the diagram.
- The intersection of Set A and Set B (A ∩ B) can be identified.
Sets of Numbers
- A set can be defined using a specific criteria, such as:
- X = {square numbers up to 100}
- Y = {cube numbers up to 100}
- A Venn diagram can be used to show the relationships between these sets.
- The intersection of the sets (X ∩ Y) can be identified.
Surveys and Set Notation
- A survey can be represented using set notation, where each set represents a category (e.g. having a rabbit, having a cat, etc.).
- The number of students in each set can be counted, and Venn diagrams can be used to show the relationships between the sets.
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Description
Practice set notation and Venn diagrams with this 20-minute worksheet, covering exercises on describing and expanding sets.
