SlideShare a Scribd company logo
1 of 50
SETS AND
VENN
DIAGRAMS
DR. FARHANA SHAHEEN
Sets
A Set is a collection of well-defined and distinct objects.
Sets are denoted by capital letters A, B, C, etc.
Example:
Set of Polygons P
Square is a member of P
Circle is not a member of P
Example:01
Subset of a Set
Operations on Sets
Sets are treated as mathematical objects.
Similar to numbers, we can perform certain mathematical operations on sets.
Intersection: 𝐴 ∩ 𝐵 = {𝑥: 𝑥 ∈ 𝐴 𝒂𝒏𝒅 𝑥 ∈ 𝐵}
Union: A ∪ 𝐵 = {𝑥: 𝑥 ∈ 𝐴 𝒐𝒓 𝑥 ∈ 𝐵}
Complement of A = 𝐴′
= 𝐴𝑐
= {𝑥: 𝑥 ∉ 𝐴}
Difference: 𝐴B = {𝑥: 𝑥 ∈ 𝐴, 𝑏𝑢𝑡 𝑥 ∉ 𝐵}
𝐴 ∩ 𝐵 = {𝑥: 𝑥 ∈ 𝐴 𝒂𝒏𝒅 𝑥 ∈ 𝐵}
Union and Intersection of two sets
𝐴′
= 𝐴𝑐
= {𝑥: 𝑥 ∉ 𝐴}
Venn Diagram of complement of A
Universal set is the largest set.
Let A be a subset of U.
Then A’ is the complement of A, which
is the set of all elements which are Not
in A.
VENN
DIAGRAMS
UNION
INTERSECTION
COMPLEMENT
OF TWO SETS A and B
DISJOINT SETS
Two sets A and B are called disjoint when they have
nothing in common. The sets which are Not disjoint are called
Overlapping sets. Example:
Disjoint Sets
Example:02
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
T is the set of all multiples of 2
F is the set of all multiples of 4
Write T and F in Tabular form.
Find T’ and F’.
Draw the Venn Diagram.
Difference of two
sets
B−𝐴 = 𝑥: 𝑥 ∈ 𝐵 𝑎𝑛𝑑 𝑥 ∉ 𝐴
A−𝐵 = 𝑥: 𝑥 ∈ 𝐴 𝑎𝑛𝑑 𝑥 ∉ 𝐵
Note that
A − B ≠ 𝐵 − 𝐴
Example: 03
https://www.slideshare.net/AdilAslam4/basic-of-sets-notes-set-theory

More Related Content

What's hot

Operations on sets
Operations on setsOperations on sets
Operations on setsrenceLongcop
 
Evaluating Algebraic Expressions
Evaluating Algebraic ExpressionsEvaluating Algebraic Expressions
Evaluating Algebraic Expressionsbizarregirl
 
Absolute value
Absolute valueAbsolute value
Absolute valuetvierra
 
SET THEORY
SET THEORYSET THEORY
SET THEORYLena
 
Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 ( Basic Concepts in Geometry )Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 ( Basic Concepts in Geometry )rey castro
 
Set Theory
Set TheorySet Theory
Set Theoryitutor
 
Introduction to sets
Introduction to setsIntroduction to sets
Introduction to setsSonia Pahuja
 
Identifying universal, equal and equivalent sets,
Identifying universal, equal and equivalent sets,Identifying universal, equal and equivalent sets,
Identifying universal, equal and equivalent sets,MartinGeraldine
 
Function and their graphs ppt
Function and their graphs pptFunction and their graphs ppt
Function and their graphs pptFarhana Shaheen
 
Relations and functions
Relations and functions Relations and functions
Relations and functions Leslie Amoguis
 
Introduction to Function, Domain and Range - Mohd Noor
Introduction to Function, Domain and Range - Mohd Noor Introduction to Function, Domain and Range - Mohd Noor
Introduction to Function, Domain and Range - Mohd Noor Mohd. Noor Abdul Hamid
 
Converting fraction into decimals and vice versa(MAth 7)
Converting fraction into decimals and vice versa(MAth 7)Converting fraction into decimals and vice versa(MAth 7)
Converting fraction into decimals and vice versa(MAth 7)Carlo Arabit
 

What's hot (20)

Operations on sets
Operations on setsOperations on sets
Operations on sets
 
Absolute Value of a Number
Absolute Value of a NumberAbsolute Value of a Number
Absolute Value of a Number
 
Slope of a Line
Slope of a LineSlope of a Line
Slope of a Line
 
Evaluating Algebraic Expressions
Evaluating Algebraic ExpressionsEvaluating Algebraic Expressions
Evaluating Algebraic Expressions
 
Absolute value
Absolute valueAbsolute value
Absolute value
 
SET THEORY
SET THEORYSET THEORY
SET THEORY
 
Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 ( Basic Concepts in Geometry )Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 ( Basic Concepts in Geometry )
 
Set Theory
Set TheorySet Theory
Set Theory
 
Operations on Sets
Operations on SetsOperations on Sets
Operations on Sets
 
Introduction to sets
Introduction to setsIntroduction to sets
Introduction to sets
 
Integers and Absolute Value
Integers and Absolute ValueIntegers and Absolute Value
Integers and Absolute Value
 
Identifying universal, equal and equivalent sets,
Identifying universal, equal and equivalent sets,Identifying universal, equal and equivalent sets,
Identifying universal, equal and equivalent sets,
 
Polynomials
PolynomialsPolynomials
Polynomials
 
Function and their graphs ppt
Function and their graphs pptFunction and their graphs ppt
Function and their graphs ppt
 
Simple Equations I
Simple Equations ISimple Equations I
Simple Equations I
 
Relations and functions
Relations and functions Relations and functions
Relations and functions
 
Chapter 1, Sets
Chapter   1, SetsChapter   1, Sets
Chapter 1, Sets
 
Introduction to Function, Domain and Range - Mohd Noor
Introduction to Function, Domain and Range - Mohd Noor Introduction to Function, Domain and Range - Mohd Noor
Introduction to Function, Domain and Range - Mohd Noor
 
Converting fraction into decimals and vice versa(MAth 7)
Converting fraction into decimals and vice versa(MAth 7)Converting fraction into decimals and vice versa(MAth 7)
Converting fraction into decimals and vice versa(MAth 7)
 
Square roots
Square rootsSquare roots
Square roots
 

Similar to Sets and venn diagrams

Similar to Sets and venn diagrams (20)

SET
SETSET
SET
 
Set theory - Master of Arts
Set theory - Master of ArtsSet theory - Master of Arts
Set theory - Master of Arts
 
SETS PPT-XI.pptx
SETS PPT-XI.pptxSETS PPT-XI.pptx
SETS PPT-XI.pptx
 
Sets Class XI Chapter 1
Sets Class XI Chapter 1Sets Class XI Chapter 1
Sets Class XI Chapter 1
 
G-1-SETS.pdf
G-1-SETS.pdfG-1-SETS.pdf
G-1-SETS.pdf
 
2.1 Sets
2.1 Sets2.1 Sets
2.1 Sets
 
Sets.pptx
Sets.pptxSets.pptx
Sets.pptx
 
Set concepts
Set conceptsSet concepts
Set concepts
 
A.FATHI.pptx
A.FATHI.pptxA.FATHI.pptx
A.FATHI.pptx
 
Discrete mathematics OR Structure
Discrete mathematics OR Structure Discrete mathematics OR Structure
Discrete mathematics OR Structure
 
SET powerpoint
SET powerpointSET powerpoint
SET powerpoint
 
Sets in Maths (Complete Topic)
Sets in Maths (Complete Topic)Sets in Maths (Complete Topic)
Sets in Maths (Complete Topic)
 
Set Theory - Unit -II (Mathematical Foundation Of Computer Science).pptx
Set Theory - Unit -II (Mathematical Foundation  Of  Computer Science).pptxSet Theory - Unit -II (Mathematical Foundation  Of  Computer Science).pptx
Set Theory - Unit -II (Mathematical Foundation Of Computer Science).pptx
 
Discmath
DiscmathDiscmath
Discmath
 
pdf_20221016_194015_0000.pdf
pdf_20221016_194015_0000.pdfpdf_20221016_194015_0000.pdf
pdf_20221016_194015_0000.pdf
 
Set concepts
Set conceptsSet concepts
Set concepts
 
Mathematics JEE quick revision notes pdf
Mathematics JEE quick revision notes pdfMathematics JEE quick revision notes pdf
Mathematics JEE quick revision notes pdf
 
Sets
SetsSets
Sets
 
Set concepts
Set conceptsSet concepts
Set concepts
 
Sets.pdf
Sets.pdfSets.pdf
Sets.pdf
 

More from Farhana Shaheen

INTRODUCTION TO PROBABILITY.pptx
INTRODUCTION TO   PROBABILITY.pptxINTRODUCTION TO   PROBABILITY.pptx
INTRODUCTION TO PROBABILITY.pptxFarhana Shaheen
 
Quadratic Functions.pptx
Quadratic Functions.pptxQuadratic Functions.pptx
Quadratic Functions.pptxFarhana Shaheen
 
All About Functions- For a Layman.pptx
All About Functions- For a Layman.pptxAll About Functions- For a Layman.pptx
All About Functions- For a Layman.pptxFarhana Shaheen
 
Geometrical transformation reflections
Geometrical transformation reflectionsGeometrical transformation reflections
Geometrical transformation reflectionsFarhana Shaheen
 
Geometrical transformation
Geometrical transformationGeometrical transformation
Geometrical transformationFarhana Shaheen
 
Polygons i-triangles-dfs
Polygons i-triangles-dfsPolygons i-triangles-dfs
Polygons i-triangles-dfsFarhana Shaheen
 
One to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfsOne to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfsFarhana Shaheen
 
Matrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfsMatrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfsFarhana Shaheen
 
A Journey to Pakistan - Dr. Farhana Shaheen
A Journey to  Pakistan - Dr. Farhana ShaheenA Journey to  Pakistan - Dr. Farhana Shaheen
A Journey to Pakistan - Dr. Farhana ShaheenFarhana Shaheen
 
Exploring the world of mathematics kust
Exploring the world of mathematics kustExploring the world of mathematics kust
Exploring the world of mathematics kustFarhana Shaheen
 
3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfs3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfsFarhana Shaheen
 
Fractions Dr. Farhana Shaheen
Fractions Dr. Farhana ShaheenFractions Dr. Farhana Shaheen
Fractions Dr. Farhana ShaheenFarhana Shaheen
 
1.2 subsets of integers dfs
1.2 subsets of integers dfs1.2 subsets of integers dfs
1.2 subsets of integers dfsFarhana Shaheen
 
Fractions, percentages, decimals
Fractions, percentages, decimalsFractions, percentages, decimals
Fractions, percentages, decimalsFarhana Shaheen
 
1.1 real number system dfs
1.1 real number system dfs1.1 real number system dfs
1.1 real number system dfsFarhana Shaheen
 
Significance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana ShaheenSignificance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana ShaheenFarhana Shaheen
 
Exploring the world of mathematics Dr. Farhana Shaheen
Exploring the world of mathematics Dr. Farhana ShaheenExploring the world of mathematics Dr. Farhana Shaheen
Exploring the world of mathematics Dr. Farhana ShaheenFarhana Shaheen
 
Maths study skills dfs-edc
Maths study skills dfs-edcMaths study skills dfs-edc
Maths study skills dfs-edcFarhana Shaheen
 
Derivatives in graphing-dfs
Derivatives in graphing-dfsDerivatives in graphing-dfs
Derivatives in graphing-dfsFarhana Shaheen
 

More from Farhana Shaheen (20)

INTRODUCTION TO PROBABILITY.pptx
INTRODUCTION TO   PROBABILITY.pptxINTRODUCTION TO   PROBABILITY.pptx
INTRODUCTION TO PROBABILITY.pptx
 
Quadratic Functions.pptx
Quadratic Functions.pptxQuadratic Functions.pptx
Quadratic Functions.pptx
 
All About Functions- For a Layman.pptx
All About Functions- For a Layman.pptxAll About Functions- For a Layman.pptx
All About Functions- For a Layman.pptx
 
Geometrical transformation reflections
Geometrical transformation reflectionsGeometrical transformation reflections
Geometrical transformation reflections
 
Geometrical transformation
Geometrical transformationGeometrical transformation
Geometrical transformation
 
Polygons i-triangles-dfs
Polygons i-triangles-dfsPolygons i-triangles-dfs
Polygons i-triangles-dfs
 
One to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfsOne to one and onto lt 1.9 dfs
One to one and onto lt 1.9 dfs
 
Matrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfsMatrix of linear transformation 1.9-dfs
Matrix of linear transformation 1.9-dfs
 
A Journey to Pakistan - Dr. Farhana Shaheen
A Journey to  Pakistan - Dr. Farhana ShaheenA Journey to  Pakistan - Dr. Farhana Shaheen
A Journey to Pakistan - Dr. Farhana Shaheen
 
Exploring the world of mathematics kust
Exploring the world of mathematics kustExploring the world of mathematics kust
Exploring the world of mathematics kust
 
3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfs3.1.2 Linear Equations in one Variable dfs
3.1.2 Linear Equations in one Variable dfs
 
Fractions Dr. Farhana Shaheen
Fractions Dr. Farhana ShaheenFractions Dr. Farhana Shaheen
Fractions Dr. Farhana Shaheen
 
1.2 subsets of integers dfs
1.2 subsets of integers dfs1.2 subsets of integers dfs
1.2 subsets of integers dfs
 
Fractions, percentages, decimals
Fractions, percentages, decimalsFractions, percentages, decimals
Fractions, percentages, decimals
 
1.1 real number system dfs
1.1 real number system dfs1.1 real number system dfs
1.1 real number system dfs
 
Significance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana ShaheenSignificance of Numbers in life Dr. Farhana Shaheen
Significance of Numbers in life Dr. Farhana Shaheen
 
Exploring the world of mathematics Dr. Farhana Shaheen
Exploring the world of mathematics Dr. Farhana ShaheenExploring the world of mathematics Dr. Farhana Shaheen
Exploring the world of mathematics Dr. Farhana Shaheen
 
Maths study skills dfs-edc
Maths study skills dfs-edcMaths study skills dfs-edc
Maths study skills dfs-edc
 
Derivatives in graphing-dfs
Derivatives in graphing-dfsDerivatives in graphing-dfs
Derivatives in graphing-dfs
 
Mean median mode_range
Mean median mode_rangeMean median mode_range
Mean median mode_range
 

Recently uploaded

Đề tieng anh thpt 2024 danh cho cac ban hoc sinh
Đề tieng anh thpt 2024 danh cho cac ban hoc sinhĐề tieng anh thpt 2024 danh cho cac ban hoc sinh
Đề tieng anh thpt 2024 danh cho cac ban hoc sinhleson0603
 
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING IIII BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING IIagpharmacy11
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnershipsexpandedwebsite
 
Features of Video Calls in the Discuss Module in Odoo 17
Features of Video Calls in the Discuss Module in Odoo 17Features of Video Calls in the Discuss Module in Odoo 17
Features of Video Calls in the Discuss Module in Odoo 17Celine George
 
How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17Celine George
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....Ritu480198
 
How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17Celine George
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project researchCaitlinCummins3
 
Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...
Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...
Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...Sumit Tiwari
 
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...Gary Wood
 
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...Denish Jangid
 
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...Nguyen Thanh Tu Collection
 
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/Championnat de France de Tennis de table/
Championnat de France de Tennis de table/siemaillard
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the lifeNitinDeodare
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...Nguyen Thanh Tu Collection
 
Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
 Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatmentsaipooja36
 
UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024Borja Sotomayor
 
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024CapitolTechU
 

Recently uploaded (20)

Đề tieng anh thpt 2024 danh cho cac ban hoc sinh
Đề tieng anh thpt 2024 danh cho cac ban hoc sinhĐề tieng anh thpt 2024 danh cho cac ban hoc sinh
Đề tieng anh thpt 2024 danh cho cac ban hoc sinh
 
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING IIII BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
II BIOSENSOR PRINCIPLE APPLICATIONS AND WORKING II
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
 
Features of Video Calls in the Discuss Module in Odoo 17
Features of Video Calls in the Discuss Module in Odoo 17Features of Video Calls in the Discuss Module in Odoo 17
Features of Video Calls in the Discuss Module in Odoo 17
 
How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17How To Create Editable Tree View in Odoo 17
How To Create Editable Tree View in Odoo 17
 
SURVEY I created for uni project research
SURVEY I created for uni project researchSURVEY I created for uni project research
SURVEY I created for uni project research
 
Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...
Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...
Chapter 7 Pharmacosy Traditional System of Medicine & Ayurvedic Preparations ...
 
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
 
Word Stress rules esl .pptx
Word Stress rules esl               .pptxWord Stress rules esl               .pptx
Word Stress rules esl .pptx
 
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
 
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
 
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the life
 
Including Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdfIncluding Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdf
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
 
Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
 Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
 
UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024
 
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024
 

Sets and venn diagrams