Fst Reveiw-1

Front 1

Set

Back 1

- a collection of objects
- the objects are called elements
- the order in which the elements are listed is not important
- The elements are contained by set braces
- named with capital letters

Front 2

Elemenents/members

Back 2

the objects contained withing a set

Front 3

E

Back 3

means that the preceding number is a member of the following set

Front 4

E/

Back 4

means that the preceding number is not a member of the following set

Front 5

Infinite Sets

Back 5

have an unending list of distinct elements

Front 6

Finite Sets

Back 6

have a limited numberof elements

Front 7

Set builder Notation

Back 7

- written using a variable
{x/x is a natural number between 2 and 5}
(the set of all elements x such that x is a natural number between 2 and 7)

Front 8

Universal Set

Back 8

- represented by "u"
-

Front 9

Null/Empty Set

Back 9

- a set containing no elements
example: all people 12' tall

Front 10

Subset

Back 10

- represented by C with line under it

Front 11

Not a Subset

Back 11

- represented by C with line under it and a / throught the middle

Front 12

Complement of a Set

Back 12

- Written: capital letter' or capital letter-prime
-all the elements of the universal set that are not components of a given set, are the complements of that set

Front 13

Intersection of Two Sets

Back 13

- represented by n (intersection of)
- all of the elements that belong to BOTH of these sets

Front 14

Disjoint Sets

Back 14

- two sets that have no common elements
example: AnB = 0/ or
AnB = { }

Front 15

Union of Two Sets

Back 15

- represented by u (union of)
- all the elements belonging to one or both sets
- AuB = {x/x EA or xEB}

Front 16

Set operations

Back 16

A' = {xIx EU, xE/A}
AnB = {xIx EA and xEB}
Aub = {xIx EA or xEB