Sets And Set Notation Flashcards
Is a “well-defined” collection of objects having a common characteristic
Set
Two ways of set notation
Roster notation and set builder notation
Individual member of set/inside a pair of braces
Element
The set is written as a list of all it’s elements inside a pair of braces
Roster notation
The set is described by the characteristics of the elements
Set builder notation
A set pertains to the number of elements a set contains/{ }
Cardinality
A set with defined cardinality/can be counted
Finite set
Cannot be counted
Infinite set
Also know as singleton
Unit set
Is a set with a cardinality of 0 and is denoted by the symbol { } or ∅
Null or empty set
Same cardinality
Equivalent sets
Same element
Equal set
A part of larger group of related things
Subset
is a subset of A
that is not equal to A
Proper subset
Containing all subsets of a given set
Power set
Set a and b is the set of all elements
In A or in B/a set containing all sets of A and B
Union of set
Is the set of all common elements in A and B
Intersection of sets
If the intersection of two sets is an empty set,then they are said to be
Disjoint sets
Denoted by U, refers to all elements of a context under
Universal set
Written as A’ and read as “A complement”
Complement
Denoted by A-B, is the set of all elements in A that are not in B l
Difference of two sets
is a graphic representation consisting usually of a rectangle and overlapping circles
Venn diagram
Venn diagram (named after the British logician and philosopher _______________)
John venn
What is A-B and B-A called
Difference of sets