ch 2.2: sets Flashcards
is a collection of well-defined objects, ideas or numbers
set
The groups are called ________ for as long as the objects in the group share a characteristic and are thus, well defined.
sets
When used before/after the first/last element, it denotes infinity.
Ellipses (…)
The objects, ideas or numbers in a set are called?
elements (∈) of the set.
To describe a set, we use?
{ }
(and use capital letters to represent it, e.g. “A” or “A = {}”)
It suggested that there were elements between two elements when it was used between them.
Ellipses (…)
the three (3) dots in enumerating the elements of the set.
Ellipses (…)
contains elements that can be counted and terminates at a certain object, idea or number.
finite set
a set that contain endless number of elements
infinite set
a set with no element
Empty Set / Null Set
Empty Set / Null Set is denoted by?
∅ or “{ }”
a set with only one member.
Singleton
two or more sets are _________ if they contain the same elements.
Equal Sets
if the number of elements in two or more sets is the same, they are?
Equivalent Sets
The number of distinct elements that belongs to a finite set.
Cardinality of Set aka the cardinal number of the set.
Cardinality of Set is Denoted by?
n(A) or |A|
a set that contains all the elements considered in a particular situation
Universal Set
Universal Set is denoted by?
the capital letter “U”
is a set whose element belongs to another set or universal set.
Subset
Subset is demoted by?
“⊆”
a subset that Is not equal to the original set
Proper Subset
Proper Subset is demoted by?
“⊂”
Ways of Presenting Sets
- Descriptive Form
- Roster Method
- Set-Builder Notation
defining the rules of which the generates or defines the members.
Descriptive Form
Roster Method is also called?
List Notation
A way of presenting sets by listing all its member separated by commas and enclosed in a pair of braces.
Roster Method
It has a property that the members of the set share.
Set-Builder Notation
an operation for two or more sets in which another set is formed by combining all the elements.
Union of Sets “⋃”
Sometimes depicted by the word “or”.
Set-Builder Notation is also?
Predicate Notation/Rule Method
Way of Presenting sets by stating the characteristics or properties of its elements.
Set-Builder Notation
Operations on Sets
- Union
- Intersection
- Complementation
Finding the elements for a set is what we are performing on the operations on sets.
an operation on a set that must be performed in reference to universal set.
Compliment of a Set
an operation for two or more sets in which another set is formed by listing the common elements.
Intersection of Sets “⋂”
Compliment of a Set is dnoted by?
A’
All elements that “does not belong to” A but on U.
Compliment of a Set
