This will illustrate different operations of sets and use Venn diagrams to represent set operations.

1. OPERATIONS ON SETS
Intersection, Difference and
Union of Sets
By: Lawrence A. Longcop

2. Intersection of the Sets
The set containing the common elements.
Bing
Cyra
Paul
Angelin
Jennie
Princess
Shiela
Ralf
Emerson
A ∩ B = {Ralf, Emerson}

3. Example
Two students listed their favorite subjects:
E = {Filipino, Science, Makabayan} and F =
Filipino
Makabayan
Math
English
Science
E ∩ F

4. Try this one..!
Given M = {4,8,10,14} and V = {1,2,3,15}, what is
M ∩ V ?
Solution:
M ∩ V = { } or Ø.
4
8
10
14
1
2
3
15

5. Difference of Sets
Denoted by A – B or AB, is the
set containing elements in A but not in
Bing
Cyra
Paul
Angelin
Jennie
Princess
Shiela
Ralf
Emerson
A – B = {Bing, Cyra, Paul,
Angelin}

6. Union of Sets
Is the set containing all the elements in A or in B
or in both A and B, denoted by A  B.
Bing
Cyra
Paul
Angelin
Jennie
Princess
Shiela
Ralf
Emerson
A  B = {Bing, Cyra, Paul, Angelin, Ralph,
Emerson, Princess, Shiela, Jennie}

7. Your turn..!
Find L  W.
A
B
C
D
F
G
H
I C
D
L
L W
A
B
F
G
H I
L
D
C
Find L  W =
{A,B,C,D,F,G,H,I,L}

8. The Complement of a Set
The set containing all the elements in the
universal set but not in the given set.
A U
Sunday Saturday
Monday
Tuesday
Wednesday
Thursday
Friday
Complement of set A
A’ = {Saturday,
Sunday}

9. Try this...!
Set A = {0,1,4,5,6,7,8} U= {the digits}
A U
9 2
3
0
1
4
5
6
7 8
A’ = {2,3,9}

10. A
B
C
D
G
H
I
E
F
A B