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Glossary of Math 109

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natural number
[1,2,3,4,5,6...]
whole numbers
[0,1,2,3,4,5...]
integers
[...5,4,3,2,1,0,1,2,3,4,5...]
rational numbers
numbers whosse decimal representation is an integer, a terminating decimal, or a repeating decimal
Set
a collection of objects
element
anything inside a set is an element of that set
equal sets
if two or more sets have all of the same elements
subset
everything in set A is in set B. Everything in set B does not have to be in set A.
proper subset
if every element in set A is in set B but set A is not = to set B.
complement of a set
all element in the universal set that are not in the set beind examined.
intersection of sets
all elements that 2 or more sets have in common.
union of sets
all the elements in 2 or more sets combined
difference of sets
the set of all elements in one set that are not in another set.
cartesian product of 2 sets
AxB, All ordered pairs with A=X and B=Y
cardinal number (or cardinality) of a set
the number of elements in a set
E
is an element of
C
-
can or cannot be equal sets
C
definitely equal sets
how do you determine how many subsets a given set has?
the # of subsets of a set with N elements is 2n.
How do you determine how many proper subsets a given set has?
the # of proper subsets of a set with n elements is 2n-1

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