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MATH 7
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a
set
is a well-defined collection if obejcts, such objects are called the
element
of the set
In the
roster
method
or
listing
method
of describing a set, the elements of the set are listed between braces.
In the
rule method
or the
set-builder
notation of describing a set, the property or
properties
that each element of the set satisfies are stated.
The
cardinality
of a set refers to the number of elements in the set.
A set has no elements is called an
empty set
or a
null set
describing a set, the elements of the set are listed between braces
roster method
and
listing method
if the cardinality or number of elements of a set is a counting number, then it’s called a
finite set
sets
a
and
b are
equal if they contain the same elements and a is a
subset
of b
A welded collection of elements are called the
elements of the set
The
property
or
characteristic
of a set
Refers to the number of elements of the set
Cardinality
of a
set
The number of elements of the set
A set that has no elements
Is called an
empty set
A set is
finite
If the
cardinality
of the set is a
counting number
A
set
is
infinite
If the cardinality of the set is not a finite counting number
Sets A and B are equivalent
If they contain
exactly
the
same elements
Sets A and B are equal
If they have the
same cardinality
,
symbols
The
union of sets A
and
B
Is denoted as A U B
Intersection
The
set that
is
all the elements common
to
two
or
more sets
The
property
of the intersection of sets A and B, which is denoted as
A∩B
, is the segments that are common to both A and B
A visual representation of logical relationship among sets is a
Venn diagram
If the closeness of P implies the closeness of Q, then
P
is a subset of
Q
NUO Elee
,
Tene
Lee
,
Tine
YOUR
L
Cardinality
The number of elements in a set
Qaid to be a
Bonus
Enumeration
Listing or counting the elements of a set
Commonly used methods to describe sets
Roster Method
Set-builder notation
Kinds of Sets
Finite sets
Infinite sets
Empty set
Universal set
TEST III-SOLVING
1. Consider the
following sets of athletes
2.
Find the elements of each union of sets
STRICTLY
NO ERASURE