102 - naming sets and types of sets
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S E T SNaming Sets
Types of Sets
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The set of months in a year.
Well defined or not?
The set of large numbers.The set of most interesting
students in this classThe set of continents in the
world
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Give two elements of set A.
A={4, 8, 12, 16}
What is n(D)?
Give one subset of D.
How many subsets does set D
have?
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HOMEWORK:
CHECK YOUR OWN PAPER.1. Well defined2. Not well defined3. Well defined
4. Well defined5. Not well definedQUESTIONS?
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3 WAYS TO INDICATE
A SET
1. Roster Method (Listing)2. Rule Method3. Set Builder Notation
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The set of monthsin a year
By roster method:A={January, February,MarchDecember
List all the elements of the set.Use ellipsis if there are too many
elements.
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The set of months
in a year
By Rule MethodA is the set of months in ayear
Describe the common property ofthe elements in a set without
enumerating the elements.
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The set of months
in a yearBy Set Builder Notation
A={x | x is a month in a year}
Treat each element as x. State the
condition. x must satisfy the condition
A is the set of all elements of x such thatx is a month in a year.
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CONTINENTS IN THE
WORLD
B = {Africa, Antartica, Asia,Australia, Europe, North America,
South America}
B is the set of continents in theworld
B = {x | x is a continent}
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DEFINTION
UNIT SET A set with only one element. Its
cardinality is always 1
C = {1}D = {green}
E = {Madagascar}
How many subsets does a unit set
have?
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DEFINTION
EMPTY SET OR NULL SET A set that has no elements.Its cardinality is always 0.
It is symbolized by or { }.
F = { }
How many subsets does a null set
have?
Why cant we use { } to denote a
null set?
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DEFINTION
FINITE SET A set whose elements can be
counted.
G = {2, 4, 5, 6}H = {a,b,c}
I = {11, 12, 20}
What is the n (E) ?
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DEFINTION
INFINITE SET A set whose elements cannot
be counted. It has an unlimitednumber of elements
J = {2, 4, 5, 6,} K = {a,b,c ,}
L = {11, 12, 13,}
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What is a unit set?What is a null set?
How is infinite set differentfrom a finite set?
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DEFINTION
JOINT SETS Sets with common elements
L = {2, 4, 6}M = {4,5,6,7}
What are the common elements of Land M?
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DEFINTION
DISJOINT SETS Sets without common elements.
N = {12, 14, 16}O = {11,13,15,17}
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DEFINTION
EQUAL SETS Sets with exactly the sameelements regardless of the
order.
P = {a, b, c, d}Q = {b, c, d, a}R = {d, a, c, b}
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DEFINTION
EQUIVALENT SETS Sets with exactly the same
cardinality.
S = {1, 2, 3, 4}T = {a, b, c, d}
How are equivalent setsdifferent from equal sets?
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What are a joint sets?What are a disjoint sets?
What are equal sets?What are equivalent sets?
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PracticeExercisesB and C.
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HOMEWORK:
CHECK YOUR OWN PAPER.A. B.
1. 8 1. X = {6,7,8,9,10,11}2. 1 2. M = {x | x is a multiple
3. 2of 10
}4. 16 3. Tis the set of three5. 64 basic needs of a person
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SYNTHESIS
[Journal]:Write 3 important points that
you learned about todaystopic.
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