# Set Theory_ Using Venn Diagrams by pptfiles

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```									 Set Theory: Using Venn Diagrams
• Universal Set (U): the set of all elements under
consideration. www.onlinemathlearning.com/universal-set.com
• #1) U = {prime numbers less than 21}: {2,3,5,7,11}
A = {odd prime numbers <21}: {3,5,7,11}
A’ =

#2) U = {Multiples of 5 that are <50}:
U = {5,10,15,20,25,30,35,40,45}
A = {mult. of 10 that are <50}: {10,20,30,40}
A’ =
Set Theory: Using Venn Diagrams
U: Universal Set

A                      B

Intersection: A   B=
Set Theory: Using Venn Diagrams
U: Universal Set

Universal Set or complement of (A ∩ B)
noted as (A ∩ B)’
Set Theory: Using Venn Diagrams
U: Universal Set

A                           B

Union: A U B =   and
Set Theory: Using Venn Diagrams
U: Universal Set

Universal Set or complement of (A U B)
noted as (A U B)’
Set Theory: Using Venn Diagrams
U: Universal Set

A         B

Complement of A = A’
Set Theory: Using Venn Diagrams
U: Universal Set

B         A

Complement of B = B’
Set Theory: Using Venn Diagrams
U: Universal Set
A           B

Empty Set / Disjoint Sets
Set Theory: Using Venn Diagrams
U: Universal Set

B

A

Subset: A  B
Set Theory: Using Venn Diagrams
U: Universal Set

A

B

Subset: B  A
Set Theory: Using Venn Diagrams
• Assignment:
– Write the relationship that you see at each
problem – use set notation!!!
– Remember that it is quiet in a museum!!!!
• Handout “Venn Diagrams WS” (1-3)
(half-sheet) and work problems together…
Set Theory: Using Venn Diagrams
from the Venn Diagram WS (1-3) (half sheet)
Gym class = 24
students
Set Theory: Using Venn Diagrams
from the Venn Diagram WS (1-3) (half sheet)
Gym class = 24
students
Set Theory: Using Venn Diagrams
from the Venn Diagram WS (1-7) (dog on back)
50 students

Chorus still has 18 and Band still has 26 students.

CUB=                               C    D=
Students not enrolled in chorus or band =
Set Theory: Using Venn Diagrams
320 students

S                      B

SUB=                                S    B=
Students not enrolled in chorus or sports =
Set Theory: Using Venn Diagrams
S
3         F
p
0         r
a
e
n
s         n
i
t         c
s
u         h
h
d
e
n
t
s
Latin

Students enrolled in French only
Set Theory: Using Venn Diagrams
Dog
3    Cat
2

s
t
u
d
e
n
t
s
Bird
Set Theory: Using Venn Diagrams
• Homework:
• Venn Diagram word problem worksheet.

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