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Set Theory
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Terms in this set (24)
Set
A set of well defined collection of objects denoted by uppercase letter A,B,C...
Element
The Objects of a set
Well Defined Set
A set whose contents are clearly defined
3 Methods to represent a a set
1.) Word Description
2.) Roster Notation
3.) Set Builder
Empty Set
Set that contains no elements
Cardinal Number
The number of distinct elements in a set
Equivalent Set
Two sets that contain the same number of elements
Finite Set
The number of elements are zero or a natural number
Infinite Set
The set whose numbers of elements are not countable
Equal Set
Two sets are equal, written as A=B, if and only if they have the exact same element
Subset
If every element of a set A.
Proper Subset
Every element in a set is also an element in another set and the sets are not equal.
Number of subsets
Given n elements in a set 2n
Number of Proper Subsets
Given 2 elements in a set, 2n-1
Universal Subset
The set of all numbers
Venn Diagram
Visual representation of a set
Disjoint Sets Picture
A and B are not connected
Proper Subsets Picture
A is inside of B
Equal Sets Picture
...
Sets w/ some common elements pictures
A overlaps B
Complement a set
The set of all elements in U that is not in set A
Intersection of a set
The set of elements common to the sets A and B
Union of Sets
The set of all elements that belong to either A or B or both
Cardinal number of Union of 2 finite sets
n(A union B)= n(A)+n(B)-n(A intersect B)
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