operations on sets

1. PRESENTATION ON:
OPERATIONS ON SETS
SUBMITTED BY: Juhi Kumari

2. UNION
The union of two sets A and B is defined as the collection
of all the elements which are either in A or B or both it is
written as AUB.
EXAMPLE: A={1,2,3} B={3,4,5,6}
AUB={1,2,3,4,5,6}

3. INTERSECTION
The intersection of two sets A and B is defined as the
collection of all those elements which belongs to both i.e. A
and B.
EXAMPLE: A={a,b,c,l,m} B={l,m,n,o,p}
AПB={l,m}

4. DIFFERENCE
The difference of two sets A and B is defined as the set of all
those elements which belongs to A but do not belongs to B and
it is denoted by A-B.
EXAMPLE: A={1,2,3} B={3,4,5,6}
A-B={1,2}

5. COMPLEMENT
The complement of a set A is a set of all those elements of
the universal set which do not belongs to set A.
EXAMPLE: A={1,2,3} U={1,2,3,4,5,_ _ _ _ _}
A’={all the elements of natural number except 1,2,3}

6. SYMMETRIC DIFFERENCE
The symmetric difference of two sets A and B is the set containing all
the elements that are in A or in B but not in both A and B. It is
denoted by ∆
Example: A={1,2,3} B={3,4,5,6}
A∆B={1,2,4,5,6}