SETS Flashcards
CHAPTER 1
It is well-defined, unordered collection of objects having no duplicate members.
Set
This collection is unambiguous, not open to interpretation and strictly capable of determination through an investigation of the facts.
Well-defined Set
Is a set of tall people in our class well defined ?
It is not well defined set.
Is a set of letters in the English Alphabet a well defined set?
It is a well defined set.
Is the set of warm days in the past year a well defined set?
It is not a well defined set.
Membership in a set can be specified in 3 ways, what are they?
- Verbal Description
- Roster Notation
- Set-builder Notation
This is where the members of the set is described in an unambiguous manner.
Verbal Description
This is a membership of a set where the members of the set are listed for you.
Roster Notation
This is where the information within the braces tells us that “genetic members of a set”
Characteristic Property or Characteristic Trait
This is used to shorten the roster, provided that we can present the roster in such a way that the demonstrated patterns of numbers, continuous
Ellipsis
The last membership of a set would look like this
P = {x[x is an even number}
Set builder Notation
What letter represent the set of natural numbers?
N
What letter represent the set of whole numbers?
W
What letter represent the set of integers?
Z
What letter represent the set of irrational numbers?
Q
What letter represent the set of real numbers?
R
What letter represent the set of complex numbers?
C
This refers to the quality of members belonging to the set, and it is represented by the symbol that is similar to the familiar notation of the absolute value |S|
Cardinality
This may be finite (Membership in the set is limited to a particular, possibly large quality)
Cardinality
This may be infinite (There are an unlimited number of numbers of members in the set)
Cardinality
The condition gives a relationship between the two sets and is denoted by the symbol c.
Subset
Every nonempty set must have at least?
at least two subsets
What is a subset of any set?
The empty set
If A is a subset of B, then B is called?
Superset of A
If the set B contains additional elements that are not elements of A, what do we call it?
Proper Subset of B ( A c B)
Is set A a subset of set B?
A = {2, 3, 5, 7, 11, 13..}
B = N
Yes, A is a subset of B
Is set A a subset of set B?
A = {John, Mary, Bob}
B = {John, Mary, Bob, Scott}
Yes it is a subset of B.
Is set A a subset of set B?
A = set of states in the United States
B = {New York, New jersey}
No, A is not a subset of B. But reverse would be correct
