SET THEORY
1 Definition Collectionof well defined differentobjects
2 Representation
a Rosterform elements are separated commas andenclosed
or by
Tabularform
by curlybracket
b set builderform write a property which isfollowedbyonly
or
PropertyorRuleform givenelements
14 Venn Diagram 1,2 or 1 or 1,23
3 Cardinal Number Number of elements in a set
n A numberofelements in set A
4 Typesof set
at Null or void or empty set Number
ofelement 0
Denoted or
by
b Singletonset ofelements 1
Number
c finite set Number elements Countable orfinite
of
d InfiniteSet Number elements Uncountable or infinite
of
e Equal sets Elements are same andnumberofelements areequal
f Equivalentsets Onlynumberofelements areequal
5 Subset set A is subsetof set B if eachelement of A is
also a element of set B Symbol Cor
Null Set is subset of every set
Each set is subset of itself
Total subsets 2n where n is number of elementsinset
1 Definition Collectionof well defined differentobjects
2 Representation
a Rosterform elements are separated commas andenclosed
or by
Tabularform
by curlybracket
b set builderform write a property which isfollowedbyonly
or
PropertyorRuleform givenelements
14 Venn Diagram 1,2 or 1 or 1,23
3 Cardinal Number Number of elements in a set
n A numberofelements in set A
4 Typesof set
at Null or void or empty set Number
ofelement 0
Denoted or
by
b Singletonset ofelements 1
Number
c finite set Number elements Countable orfinite
of
d InfiniteSet Number elements Uncountable or infinite
of
e Equal sets Elements are same andnumberofelements areequal
f Equivalentsets Onlynumberofelements areequal
5 Subset set A is subsetof set B if eachelement of A is
also a element of set B Symbol Cor
Null Set is subset of every set
Each set is subset of itself
Total subsets 2n where n is number of elementsinset
