College Mathematics Chapter 2 Review
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∈
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Reads as \"Is an element of\"
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∉
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Reads as \"Is not an element of\"
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n (A)
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Reads as \"Number of elements in Set A\"
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∅
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Reads as \"Empty Set\", also representated as { }
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u
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Universal Set- All of the elements in a discussion.
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⊆
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Reads as \"Is a subset of\"
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⊈
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Reads as \"Is not a subset of\"
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⊂
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Reads as \"Is a proper subset of\"
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⊄
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Reads as \"Is not a proper subset of\"
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'
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Complement of a set- all elements not in that set.
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∩
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Intersection- Can be represented in words as 'and.' All elements that are intersected in more than one set.
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∪
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Union- All the elements in two sets, regardless if they are in common. Can be represented in words as 'or.'
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-
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The difference between two sets.
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×
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Cartesian product.
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ℵ0
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Aleph- null. Means a set is infinite.
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Elements or members
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collection of objects of a set
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Roster form
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listing elements inside braces { } ^-^
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well-defined set
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a set that is has no question that is included
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⋯
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Ellipsis= a set thats continuing in the same fashion.
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set builder notation
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a formal statment that describes the members of a set is written between the braces. varible may represent anyone of the members of the set. { x|x∈N and x is an even number ≤10}
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finite set
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set contains no elements, or number of element is natrual. ;D
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infinite
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Number of elements is not empty or natural, you cannot count the elements
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equal set
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all element are the same ('?')
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equivalent set
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same number of elements
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Number of subsets a set can have
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The number of subsets of a finite set A is 2^n, where n is the number of elements in set A.