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Set Theory
Math 120 Chapter 2
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Terms in this set (19)
Set
a collection of objects, denoted by braces {}
Elements
Also called the members of a set.
Well defined set
the contents/objects of a set can be clearly determined
Description form
Describing a set through a word description.
Roster form
A list of all the elements in a set.
Set-builder notation
{x[ }
Braces
{ }
Finite
Set containing no elements or the number of elements is a natural number (you can count how many elements are in the set).
Infinite
Not finite, uncountable
Equal sets
Set A is equal to Set B if and only if Set A and B contain the same elements.
Cardinal number
The number of elements in a set n(A)
Equivalent sets
Set A is equivalent to set B if and only if the cardinal number of A equals cardinal element of B
One to One Correspondence
Every element in Set A can be matched with an element in set B (requires equivalent sets)
Empty or Null Set
The set that contains no elements
Universal set
The set that contains all elements for any specific discussion
Subsets
Set A is a subset of set B if and only if all of the elements in A are in B.
Proper subsets
Set A is a proper subset of Set B if and only if all of the elements in A are also in B, and A is not equal to B
Number of Distinct subsets
The Number of Distinct Subsets of a finite set A is always 2 to the nth power, where n is the number of elements in A.
Number of Distinct Proper Subsets
Number of Distinct Proper Subsets of a finite set A is always 2 to the nth power minus 1, where n is the number of elements in A.
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