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Learning Objectives
•
Draw and interpret Venn diagrams of common set
operations.
•
State DeMorgan’s Laws in set notation and
explain in both words and Venn diagrams.
•
Determine the sample space of an experiment
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•
set
is a collection of objects,
S
•
elements
are the objects in a set,
x
•
Notation
S =
{
x
1
, x
2
, … x
n
}
x
i
∈
S
(Element
x
i
belongs
to Set
S
)
•
Examples
S
=
{a, e, i, o, u} (set of vowels)
T
= {Head, Tail} (set of outcomes of a coin toss)
D
= {1,2,3,4,5,6} (set of outcomes of a dice)
Set Notation
•
“is a member of”
Example: If
S
=
{a, e, i, o, u}
–
a
∈
S (
a
belongs to
S
)
–
m
∉
S (
m
does not belong to
S
)
•
subset
–
T = {a, e}
–
T
⊂
S
•
“such that”  S = {
x

x
satisfies a P}  read as,
set S has elements x in it
such that x satisfies a property P
–
A = {
n

90
≤
n
100} (set of scores for an A)
≤
(Set A has scores
n
such that 90
n
100)
≤ ≤
•
The number of elements in a set can be
–
countable: N = {
n
 0 <
n
< 5},
n
is integer
–
countable infinite: E = {
k

k
/2 is an integer},
k
is an integer
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This note was uploaded on 02/01/2011 for the course BME 335 taught by Professor Dunn during the Spring '10 term at University of Texas at Austin.
 Spring '10
 Dunn

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