sets
DESCRIPTION
Sets. Shana Meacham. Review. Review. Finite vs. Infinite. Review. Finite vs. Infinite Finite: where Infinite: Not finite. Finite vs. Infinite Finite: where Infinite: Not finite. Notation. Review. Finite vs. Infinite Finite: where Infinite: Not finite. - PowerPoint PPT PresentationTRANSCRIPT
SetsSets
Shana MeachamShana Meacham
ReviewReview
ReviewReview
Finite vs. InfiniteFinite vs. Infinite
ReviewReview
Finite vs. InfiniteFinite vs. Infinite Finite:Finite:
where where
Infinite: Infinite: Not finite.Not finite.
n,...,3,2,1
.n
,...,1,,...,3,2,1 nn
ReviewReview
Finite vs. InfiniteFinite vs. Infinite Finite:Finite:
where where
Infinite: Infinite: Not finite.Not finite.
NotationNotationn,...,3,2,1
.n
,...,1,,...,3,2,1 nn
ReviewReview
Finite vs. InfiniteFinite vs. Infinite Finite:Finite:
where where
Infinite: Infinite: Not finite.Not finite.
NotationNotationn,...,3,2,1
.n
,...,1,,...,3,2,1 nn
,
DefinitionDefinition
DefinitionDefinition Set: a Set: a finitefinite or or infiniteinfinite
collection of objects in collection of objects in which order has no which order has no significance.significance.
ExamplesExamples
.
ExamplesExamples
DefinitionDefinition Set: a Set: a finitefinite or or infiniteinfinite
collection of objects in collection of objects in which which order has no order has no significance.significance.
ExampleExample
1.1.
.
5,4,3,2,1A
1,4,2,3,5
ExamplesExamples
DefinitionDefinition Set: a Set: a finitefinite or or infiniteinfinite
collection of objects in collection of objects in which order has no which order has no significance.significance.
ExampleExample
1.1.
.
2. All professional sports players.
5,4,3,2,1A
1,4,2,3,5
ExamplesExamples
DefinitionDefinition Set: a Set: a finitefinite or or infiniteinfinite
collection of objects in collection of objects in which order has no which order has no significance.significance.
ExampleExample
1.1.
.
2. All professional sports players.
3. MTED 301 teachers.
5,4,3,2,1A
1,4,2,3,5
ExamplesExamples
Finite or Finite or infinite?? ExampleExample
1.1.
.
2. All professional sports players.
3. MTED 301 teachers.
5,4,3,2,1A
1,4,2,3,5
ExamplesExamples
Finite or Finite or infinite??
Finite
Finite
Finite
ExampleExample
1.1.
. All professional sports
players. MTED 301 teachers.
5,4,3,2,1A
1,4,2,3,5
ExamplesExamples
Examples of infinite setsExamples of infinite sets1.1. The IntegersThe Integers
,...3,2,1,0
SubsetsSubsets
DefinitionDefinition Subset: a set Subset: a set
contained within a set.contained within a set.
SubsetsSubsets
DefinitionDefinition Subset: a set Subset: a set
contained within a set.contained within a set.
ExamplesExamples
1.1. If , If , then then somesome examples of examples of subsets of are:subsets of are:
1,4,2,3,5A
AA
3,2,1B
SubsetsSubsets
DefinitionDefinition Subset: a set Subset: a set
contained within a set.contained within a set.
ExamplesExamples
2.2. If X is the set of all If X is the set of all professional sports professional sports players, then some players, then some subsets of X are:subsets of X are:
The set of all The set of all professional baseball professional baseball playersplayers
((Ramin Samari)Ramin Samari)
Dodgers
SubsetsSubsets
DefinitionDefinition Subset: a set Subset: a set
contained within a set.contained within a set.
ExamplesExamples
2.2. If T is the set of all If T is the set of all MTED 301 teachers, MTED 301 teachers, then some subsets of T then some subsets of T are:are:
Bishop
Bishop Hamidian,
ReviewReview
Finite vs. Infinite SetsFinite vs. Infinite Sets Definition of SetDefinition of Set Examples of SetsExamples of Sets Definition of SubsetsDefinition of Subsets Examples of SubsetsExamples of Subsets
Next TimeNext Time
Consider doing some researchConsider doing some research Unions of SetsUnions of Sets Intersections of SetsIntersections of Sets Bring in some examplesBring in some examples
FinFin