SlideShare a Scribd company logo
1 of 13
SET THEORY
SET is a collection or groups of objects with certain
characteristics.
The object are known as elements.
A set can be represented by :
 –Description
   Eg : P is a set of colour of the rainbow
 – Set notation
    Eg : P = { red, orange, yellow, green, blue, indigo,
   purple}
- Venn Diagram
Symbols :
    to show an element of a
 certain set

n (A)   denote the number of
 elements in set A

{ } or     an empty set
n(A)=7
Two set, X and Y are equal if all the elements of set X are
  elements of set Y and vice versa

Example :
   X = { Letters in the word LOVE }
   Y = { Letters in the word EVOLVE }
then, X = { L,O,V,E }
        Y = { E,V,O,L }
X and Y have the same elements, so X=Y
Set A is a subset of B if all the elements of set
A are found in set B




 Universal set is a set with all the elements under
discussion
 The complement of set P is a set that has all the
elements in the universal set but not in P and
written as P’
B           4
                                      6
                  A
                              7
                      1
              2
                                  3       8

                      5



                                              9
         10



 = {1,2,3,4,5,6,7,8,9,10} B’= {9,10}
A= {1,3,5,7}              A’={2,4,6,8,9,10}
B= {1,2,3,4,5,6,7,8}
OPERATION ON SET
Intersection on set


Union on set

Eg :   A = { a, e }
       B = { a, c, d, e }
         = { a, b, c, d, e, f }

               A    B = { a, e }
               A    B = { a, c, d, e }
A       B
b


        a       c
        e       d



                    f
Example:

A= {1,2,3,4,5,6,7,8,9}
B= {1,3,5,7,9}
C= {2,3,5,7}

A   B= {1,3,5,7,9}
B   C= {3,5,7}
A   C= {2,3,5,7}
A   B C= {3,5,7}
A
            4           6


        8       5




B                                   C
    1       9
                                2
                        7
                            3
                    5
Prepared by :

NOR RAIHAN MOHAMAD ASIMONI 0918044

NURUL ATIKAH MOHAMED       0918576

More Related Content

What's hot

A1 Test 2 study guide
A1 Test 2 study guideA1 Test 2 study guide
A1 Test 2 study guidevhiggins1
 
Substitution codes
Substitution codesSubstitution codes
Substitution codesharlie90
 
4522573 soalan-math-pmr-kertas-1-2006
4522573 soalan-math-pmr-kertas-1-20064522573 soalan-math-pmr-kertas-1-2006
4522573 soalan-math-pmr-kertas-1-2006amrida
 
Kertas Percubaan Matematik Tambahan Kedah Skema K2
Kertas Percubaan Matematik Tambahan Kedah Skema K2Kertas Percubaan Matematik Tambahan Kedah Skema K2
Kertas Percubaan Matematik Tambahan Kedah Skema K2Tuisyen Geliga
 
SPM Trial Kedah 2017 - Paper 1 Skema
SPM Trial Kedah 2017 - Paper 1 SkemaSPM Trial Kedah 2017 - Paper 1 Skema
SPM Trial Kedah 2017 - Paper 1 SkemaTuisyen Geliga
 
Prelim exam algebra
Prelim exam   algebraPrelim exam   algebra
Prelim exam algebraDanny Albay
 
E-learning to solve Logarithms Concept in Mathematics
E-learning to solve Logarithms Concept in MathematicsE-learning to solve Logarithms Concept in Mathematics
E-learning to solve Logarithms Concept in MathematicsTiamiyu Bola
 

What's hot (9)

presentation about set theorem
presentation about set theorempresentation about set theorem
presentation about set theorem
 
A1 Test 2 study guide
A1 Test 2 study guideA1 Test 2 study guide
A1 Test 2 study guide
 
Substitution codes
Substitution codesSubstitution codes
Substitution codes
 
4522573 soalan-math-pmr-kertas-1-2006
4522573 soalan-math-pmr-kertas-1-20064522573 soalan-math-pmr-kertas-1-2006
4522573 soalan-math-pmr-kertas-1-2006
 
Kertas Percubaan Matematik Tambahan Kedah Skema K2
Kertas Percubaan Matematik Tambahan Kedah Skema K2Kertas Percubaan Matematik Tambahan Kedah Skema K2
Kertas Percubaan Matematik Tambahan Kedah Skema K2
 
Indices
IndicesIndices
Indices
 
SPM Trial Kedah 2017 - Paper 1 Skema
SPM Trial Kedah 2017 - Paper 1 SkemaSPM Trial Kedah 2017 - Paper 1 Skema
SPM Trial Kedah 2017 - Paper 1 Skema
 
Prelim exam algebra
Prelim exam   algebraPrelim exam   algebra
Prelim exam algebra
 
E-learning to solve Logarithms Concept in Mathematics
E-learning to solve Logarithms Concept in MathematicsE-learning to solve Logarithms Concept in Mathematics
E-learning to solve Logarithms Concept in Mathematics
 

Viewers also liked

Native Advertising on a shoewstring
Native Advertising on a shoewstringNative Advertising on a shoewstring
Native Advertising on a shoewstringJaci Smith
 
Hire Me 306090 Day Plan
Hire Me 306090 Day PlanHire Me 306090 Day Plan
Hire Me 306090 Day PlanKelly J. Evans
 
Korn/Ferry Assessment
Korn/Ferry AssessmentKorn/Ferry Assessment
Korn/Ferry Assessmentstepwalk
 
"ფონდი ნატახტარი"
"ფონდი ნატახტარი""ფონდი ნატახტარი"
"ფონდი ნატახტარი"Akaki Torotadze
 

Viewers also liked (11)

Discriminatory laws
Discriminatory  lawsDiscriminatory  laws
Discriminatory laws
 
Flores
FloresFlores
Flores
 
Discriminatory laws
Discriminatory  lawsDiscriminatory  laws
Discriminatory laws
 
Flores
FloresFlores
Flores
 
Native Advertising on a shoewstring
Native Advertising on a shoewstringNative Advertising on a shoewstring
Native Advertising on a shoewstring
 
Get engaged!
Get engaged!Get engaged!
Get engaged!
 
MSG Marketing ENGLISH
MSG Marketing ENGLISHMSG Marketing ENGLISH
MSG Marketing ENGLISH
 
Seal team 6
Seal team 6Seal team 6
Seal team 6
 
Hire Me 306090 Day Plan
Hire Me 306090 Day PlanHire Me 306090 Day Plan
Hire Me 306090 Day Plan
 
Korn/Ferry Assessment
Korn/Ferry AssessmentKorn/Ferry Assessment
Korn/Ferry Assessment
 
"ფონდი ნატახტარი"
"ფონდი ნატახტარი""ფონდი ნატახტარი"
"ფონდი ნატახტარი"
 

Similar to Set theory

Ho class 1 handouts
Ho class 1 handoutsHo class 1 handouts
Ho class 1 handoutscamputer
 
Week 2-3 - Complementary and Difference of Sets.pptx
Week 2-3 - Complementary and Difference of Sets.pptxWeek 2-3 - Complementary and Difference of Sets.pptx
Week 2-3 - Complementary and Difference of Sets.pptxSHERWINROYCBLASON
 
Set relationships
Set relationshipsSet relationships
Set relationshipsAjayQuines
 
mathematical sets.pdf
mathematical sets.pdfmathematical sets.pdf
mathematical sets.pdfJihudumie.Com
 
SET THEORY
SET THEORYSET THEORY
SET THEORYLena
 
Mathematics Mid Year Form 4 Paper 1 Mathematics
Mathematics Mid Year Form 4 Paper 1 MathematicsMathematics Mid Year Form 4 Paper 1 Mathematics
Mathematics Mid Year Form 4 Paper 1 Mathematicssue sha
 
1Q LP 3.4 Venn Diagram & Set Operation (Complement and DIfference).ppsx
1Q LP 3.4  Venn Diagram & Set Operation (Complement and DIfference).ppsx1Q LP 3.4  Venn Diagram & Set Operation (Complement and DIfference).ppsx
1Q LP 3.4 Venn Diagram & Set Operation (Complement and DIfference).ppsxMariaRaffaellaMargau
 
2 》set operation.pdf
2 》set operation.pdf2 》set operation.pdf
2 》set operation.pdfHamayonHelali
 
Algebra 1 Item No 06
Algebra 1 Item No 06Algebra 1 Item No 06
Algebra 1 Item No 06Lappy Doods
 
6401-Unit 2.pptx
6401-Unit 2.pptx6401-Unit 2.pptx
6401-Unit 2.pptxhani ubaid
 
Modular arithmetic revision card
Modular arithmetic  revision cardModular arithmetic  revision card
Modular arithmetic revision cardPuna Ripiye
 

Similar to Set theory (20)

1150 day 2
1150 day 21150 day 2
1150 day 2
 
Operations on Sets
Operations on SetsOperations on Sets
Operations on Sets
 
Ho class 1 handouts
Ho class 1 handoutsHo class 1 handouts
Ho class 1 handouts
 
Week 2-3 - Complementary and Difference of Sets.pptx
Week 2-3 - Complementary and Difference of Sets.pptxWeek 2-3 - Complementary and Difference of Sets.pptx
Week 2-3 - Complementary and Difference of Sets.pptx
 
Set relationships
Set relationshipsSet relationships
Set relationships
 
mathematical sets.pdf
mathematical sets.pdfmathematical sets.pdf
mathematical sets.pdf
 
Set
SetSet
Set
 
SETS-LESSON-1.pptx
SETS-LESSON-1.pptxSETS-LESSON-1.pptx
SETS-LESSON-1.pptx
 
2.2 Set Operations
2.2 Set Operations2.2 Set Operations
2.2 Set Operations
 
SET THEORY
SET THEORYSET THEORY
SET THEORY
 
Mathematics Mid Year Form 4 Paper 1 Mathematics
Mathematics Mid Year Form 4 Paper 1 MathematicsMathematics Mid Year Form 4 Paper 1 Mathematics
Mathematics Mid Year Form 4 Paper 1 Mathematics
 
1Q LP 3.4 Venn Diagram & Set Operation (Complement and DIfference).ppsx
1Q LP 3.4  Venn Diagram & Set Operation (Complement and DIfference).ppsx1Q LP 3.4  Venn Diagram & Set Operation (Complement and DIfference).ppsx
1Q LP 3.4 Venn Diagram & Set Operation (Complement and DIfference).ppsx
 
2 》set operation.pdf
2 》set operation.pdf2 》set operation.pdf
2 》set operation.pdf
 
Sets
SetsSets
Sets
 
20104136 ----set operations
20104136 ----set operations20104136 ----set operations
20104136 ----set operations
 
Set operations
Set operationsSet operations
Set operations
 
Algebra 1 Item No 06
Algebra 1 Item No 06Algebra 1 Item No 06
Algebra 1 Item No 06
 
6401-Unit 2.pptx
6401-Unit 2.pptx6401-Unit 2.pptx
6401-Unit 2.pptx
 
Set theory - worksheet
Set theory - worksheetSet theory - worksheet
Set theory - worksheet
 
Modular arithmetic revision card
Modular arithmetic  revision cardModular arithmetic  revision card
Modular arithmetic revision card
 

Recently uploaded

1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxAreebaZafar22
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhikauryashika82
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104misteraugie
 
Gardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterGardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterMateoGardella
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfJayanti Pande
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
An Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfAn Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfSanaAli374401
 
Class 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfClass 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfAyushMahapatra5
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Shubhangi Sonawane
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxVishalSingh1417
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docxPoojaSen20
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 

Recently uploaded (20)

1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
Gardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterGardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch Letter
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
An Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdfAn Overview of Mutual Funds Bcom Project.pdf
An Overview of Mutual Funds Bcom Project.pdf
 
Class 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdfClass 11th Physics NEET formula sheet pdf
Class 11th Physics NEET formula sheet pdf
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
psychiatric nursing HISTORY COLLECTION .docx
psychiatric  nursing HISTORY  COLLECTION  .docxpsychiatric  nursing HISTORY  COLLECTION  .docx
psychiatric nursing HISTORY COLLECTION .docx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 

Set theory

  • 2. SET is a collection or groups of objects with certain characteristics. The object are known as elements. A set can be represented by : –Description Eg : P is a set of colour of the rainbow – Set notation Eg : P = { red, orange, yellow, green, blue, indigo, purple}
  • 4. Symbols : to show an element of a certain set n (A) denote the number of elements in set A { } or an empty set
  • 6. Two set, X and Y are equal if all the elements of set X are elements of set Y and vice versa Example : X = { Letters in the word LOVE } Y = { Letters in the word EVOLVE } then, X = { L,O,V,E } Y = { E,V,O,L } X and Y have the same elements, so X=Y
  • 7. Set A is a subset of B if all the elements of set A are found in set B Universal set is a set with all the elements under discussion The complement of set P is a set that has all the elements in the universal set but not in P and written as P’
  • 8. B 4 6 A 7 1 2 3 8 5 9 10 = {1,2,3,4,5,6,7,8,9,10} B’= {9,10} A= {1,3,5,7} A’={2,4,6,8,9,10} B= {1,2,3,4,5,6,7,8}
  • 9. OPERATION ON SET Intersection on set Union on set Eg : A = { a, e } B = { a, c, d, e } = { a, b, c, d, e, f } A B = { a, e } A B = { a, c, d, e }
  • 10. A B b a c e d f
  • 11. Example: A= {1,2,3,4,5,6,7,8,9} B= {1,3,5,7,9} C= {2,3,5,7} A B= {1,3,5,7,9} B C= {3,5,7} A C= {2,3,5,7} A B C= {3,5,7}
  • 12. A 4 6 8 5 B C 1 9 2 7 3 5
  • 13. Prepared by : NOR RAIHAN MOHAMAD ASIMONI 0918044 NURUL ATIKAH MOHAMED 0918576