Types_of_set.pptx

8/11/2019 Types_of_set.pptx

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TYPES OF SETS

5 September 2014Deepti Palia ,Asstt.Prof

University Institute of Computing

University Ins

Chandigarh U


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Empty Set

A set consisting of no element is called an Empty SeSet or Void Set.

Is denoted by the symbol or { }.

e.g.

{x: x N , 3 < x < 4} =

{x:x R , x2+ 1 =0} =




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Non Empty Set

A set which has at least one element is called a non- eme.g.

A = {3,3,3,4,6,9}

The set { 0 } is not an empty set as it contains the0.

The set { } is not a null set. It is a set contaielement




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Finite Set

A set in which the process of counting of elements comend is called a finite set.

e.g.

a) Set of even natural numbers less than 50

b) {x : x I , x is a factor of 1000 }.




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Infinite Set

A set in which the process of counting of elements comes to an end is called a infinite set.

e.g.

a) Set of all points in a plane

b) { x I : x


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Subset

The set B is said to be subset of set A if every element

B is also an element of Set A.we write it as:

B A or A B

B A is read as B is contained in A or B is a subset of A

e.g.Let A= {1,2,3,4} B = { 1,2,4 }. Here B is a subset of A

A. is a subset of every set.

A A .every set is subset of itself.




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Proper Subset

A set B is said to be proper subset of set A if every elemB is an element of A whereas every element of A element of B.

we write it as:

B A , B is a proper subset of A.

A , empty set is not the proper SetA A , every set is not the proper subset of itself.

e.g.if A= { 1,2,3 } B= { 1,2 }

then B A




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Power Set

The set formed by all the subsets of a given set A is cpower set of A.

denoted by P (A)

e.g.

A= {1,2,3} then

P(A)= { ,{1},{2},{3},{1,2},{2,3},{3,1},{1,2,3}}In P(A),every element is a set and if n(A)=m then n[ P

5 September 2014 Deepti Palia ,Asstt.Prof



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Equal Set

Two sets A & B are said to be equal if every element oelement of B and every element of B is an element of A.

If A B & B A then A= B.

e.g.

{2,5,6}= {5,2,6}

{2,4,7}={2,4,4,7,2}




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AnyQuery ???



Types_of_set.pptx

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