Sets Flashcards
A well-defined collection of distinct objects.
Set
How are sets denoted?
It is denoted by an uppercase letter.
An object that belongs to a set is called an
____________ and it is usually denoted by
lower case letter.
Element/Member
What are the two ways to describe a set?
Roster/Tabular Method and Rule/Descriptive Method
Method in which the elements in the given
set are listed or enumerated, separated by
a comma, inside a pair or braces.
Roster/Tabular Method
Method in which the common characteristics of
the elements are defined. This method uses set
builder notation where x is used to represent
any element of the given set.
Rule/Descriptive Method
V = {a,e,i,o,u} is an example of
Roster Method
V {x|x is a vowel in English alphabet} is an example of
Rule Method
What are the kinds of set?
Empty/Null/Void Set
Finite Set
Infinite Set
Universal Set
A set has an uncountable number of elements.
Infinite Set
Set that has no elements, denoted by Ø or by a pair of braces with no element inside.
Empty/Null/Void Set
A set with a countable number of elements.
Finite Set
The totality of all the elements of the sets
under consideration, denoted by U.
Universal Set
What are the relationship of sets?
Equal Sets
Equivalent Sets
Joint Sets
Disjoint Sets
Subset
Set with same elements.
Equal Sets
Set with the same number of elements.
Equivalent Sets
Sets with at least one common element
Joint Sets
Set have no common element
Disjoint Sets
Set wherein every element of which can be found on the
second set. ⊂
Subset
Types of Subset
Proper Subset, Improper Subset, and Not a Subset
What are the operations on sets?
Union
Intersection
Difference
Complement
Set whose elements are found in A or B or in both, denoted by U
Union
Set whose elements are common to both sets, denoted by ∩
Intersection
Set whose elements are found in set A but not in set B, denoted by -
Difference
Set of elements found in the universal set but not in set A, denoted by ‘
Complement
It is the pictorial presentation of relationship and operation of sets.
Venn - Euler Diagrams or Venn Diagrams
How does Universal Set is usually represented?
By a rectangle