A well-defined collection of objects that have a common description or characteristic
Set
An object that belongs to a set is called
Element or member
The elements of a set are listed inside braces separated by commas
Roster method or listing method
A phrase that describes each element of a set is enclosed in braces
Rule Method or set builder method
Contains the elements common to any of the sets
Union of a Set
'’x|x’’ Is read as
The set of all X’s such that x, etc
a set of which all the elements are contained in another set
Subset
Contains all objects under consideration and denoted by the capital letter U or O
Universal Set
Contains no element and is denoted by the symbol Ø or { }
Empty Set or Null Set
The number of elements in a set is called
The cardinality of a set
Denoted by| A |and the number of elements in Set A
Cardinality of A
This symbol ‘‘…’’ is called
Ellipsis
If its elements can be listed completely, the cardinality is called
Finite
In this cardinality, an ellipsis (…) is used to indicate the infinite list of elements
Infinite
The elements that they share
Intersection of a Set
A set that contains all the elements present in the universal set but not in Set A
Complement of a Set