Set Theory

Description

Flash Cards for Set Theory
Carl Patchett
Flashcards by Carl Patchett, updated more than 1 year ago
Carl Patchett
Created by Carl Patchett about 7 years ago
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Resource summary

Question Answer
What is a Set? A Set is a collection of different objects.
What are the Individual Objects of a Set called? Elements or Members
What notation is used to denote a Set? Curly Braces E.G { A, B }
What is an Empty Set? An empty Set is a Set without any members or objects. E.G { }
What is a Universal Set? And how is it denoted? A Universal Set is a Set which contains ALL the elements under consideration in a given situation. It is denoted by a U.
What symbols denotes "is a member of" a Set? The symbol ∈ denotes "is a member of", and ∉ denotes "is not a member of".
What is a Subset? A Subset is a Set in which every element and object belongs to another Set.
What symbol is used to denote "is a Subset of"? The symbol ⊆ denotes "is a Subset of" and ⊄ denotes "is not a Subset of".
What is the Complement of a Set? The Complement of a Set is the Set of elements or objects which are in the Universal Set, but NOT in Set A.
How is the Complement of a Set denoted? The Complement of a Set is denoted using the Symbol '. E.G A'
What is the Union of two Sets? The Union of two Sets is the Set of all elements or objects which are in A, B or both.
How is the Union Operator denoted? The Union operator is denoted by the symbol ∪. E.G A ∪ B
What is the Intersection of two Sets? The Intersection of two Sets is the Set of elements or objects which are in both A and B.
How is the Intersection Operator denoted? The Intersection Operator is denoted by the symbol ∩. E.G A ∩ B
What is the Difference of two Sets? The Difference of two Sets is the Set of elements or objects which are in A but not in B.
How is the Difference Operator denoted? The Difference Operator is denoted with the symbol -. E.G A - B
Which operator expresses the English Term "and"? The Intersection Operator expresses the term "and", and is denoted using the symbol ∩. E.G A ∩ B
Which operator expresses the English Term "or / either"? The Union Operator expressed the term "or / either" and is denoted using the symbol ∪. E.G A ∪ B
Which operator expresses the English Term "not"? The Complement Operator expresses the term "not" and is denoted by the symbol '. E.G A'
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