1. A Venn diagram is a graphical representation that shows all possible logical relations between different sets of data. 2. To construct a Venn diagram, closed curves like circles are drawn to represent sets of data, with their intersection and union areas indicating relationships between sets. 3. An example Venn diagram shows sets of animals classified as mammals and single-colored bodies, with tiger, monkey, elephant, crocodile, and peacock placed in the appropriate areas to demonstrate their set membership and intersections.

1. VENN DIAGRAM
• OLEH:
• LILIA ISMARTI
• PENDIDIKAN
MATEMATIKA
• PPS UNSRI

2. John Venn
Born in 1834 in England.
Devised a simple
diagramatic way to
represent sets.
Here set are represented
by closed figures such as:
.2
.4 .8
.a .i
.x .y

3. U = “animals”
How to construct a venn
diagram?
1. You have to draw a rectangle called “universe”.The
universe consists of “everything we are interested right
now”. Let's name our universe as “Animals” like below:

4. 2. Let’s say we have to deal with the following lists of
data: tiger, monkey, elephant, crocodile and peacock.
And all the data needs to be classified in two categories
(or two sets) as: mammal animal and single body
colored animal
3. For representing the two sets we have to draw two
circles as below:
U = “animals”
Mammal
Single body
colored

5. 4. Now we will put all the data to the suitable area
of the diagram as below:
U = “animals”
Mammal
Single body colored
Tiger
monkey
elephant
peacock
crocodile

6. U = “animals”
Mammal Single body
colored
Tiger
monkey
elephant
peacock
crocodile
5. Please observe that “Elephant” and “monkey” fall in
both the category and hence are placed in both circles.
Hence the modified Venn diagram will be:
The combined area of the sets (the area, where elephant
& monkey are placed) is called the intersection of the
sets and the total area of both the sets (the area, where
tiger, elephant, monkey and crocodile are placed) is
called the union of the sets.

7. A Venn diagram is the graphical representation of
different sets of data by means of a closed curve
(normally circles). Individual closed curves (circles)
of Venn diagrams represent the individual sets of
data. The Intersection and union of the circles
represent interrelations between the different sets
of data.
What is the venn diagram???

8. EXERCISE!
Let U = {2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 30}
A = {2, 4, 6, 8, 10, 12, 14, 30}
B = {3, 6, 9, 12, 15, 30}
10
C = {5, 10, 15, 30}
Represent the set in a Venn diagram!

9. The question is:
The intersection of set A, B, and C is ……?
The intersection of set A and B is…….….?
The intersection of set A and C is………?
and the intersection of B and C is………?
The union of set B and C is ………..?
The union of set A and B is ………….?
A, B, and C= {30}
A and B={6, 12, 30}
A and C={10, 30}
B and C={15, 30}.
B or C={3, 9, 6, 12, 30, 15, 5, 10}
A or B={2, 4, 8, 14, 10, 30, 6, 12, 3, 9, 15}
The answers is:

10. A
B
C
30
6
12
10
15
2
4
8
14
3
9
5
U

11. Your Homework:
There are 20 cats. 10 of the cats
have brown hair, 8 have short hair,
and 12 have blue eyes. 2 cats have
brown hair, short hair and blue
eyes. 3 of the cats have brown and
short hair but not blue eyes. 1 cat
has brown hair and blue eyes but
not short hair. 2 of the cats have
short hair and blue eyes but not
brown hair. (Hint: draw a Venn
diagram)