MATH 102
Intro to 2.3 – Venn Diagram – Day 1
Mathematician:
Notes 01.15.16
Venn Diagrams
Purpose:
illustrate set relationships
Visual:
Idea for the diagrams created by:
Possible Venn Diagrams for how set A and set B connect……..
Case 1:
Case 2:
Case 3:
Case 4:
Most of the time we are concerned with the members inside a set, but on some occasions we may
discuss the members outside of the set.
The
of set A, symbolized by
universal set that are NOT in set A.
, is the set of all the elements in the
Today we are going to focus on sets that overlap, such as in case
Definition:
INTERSECTION
UNION
A B
A B
Definition:
Example 1:
Use the following Venn diagram to determine the following sets.
1) U
5)
B’
2)
A
6)
A B
3) A  B
7)
A  B  ’
8)
n A '

4) n A  B

.
Example 2:
Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Q = {2, 4, 6, 8, 10}
R = {3, 4, 5, 6, 7}
S = {1, 3, 4, 6, 8}
1) Q '
2)
Q R
2) R  S
3)
Q R S
6)
Q  R  S '

3) Q  R  S

Example 3:
Let U represent the set of US colleges and universities. Let A represent the set of US colleges and
universities in the state of Mississippi. Describe A’.
Example 4:
U is the set of all grocery stores.
A is the set of grocery stores that sell crackers.
B is the set of grocery stores that sell fruit.
Describe A  B
Describe A  B