SlideShare a Scribd company logo

Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets

•
•
Pranav Sharma
Pranav Sharma

Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets

Education
1 of 15
Download to read offline
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets
Empty sets, singleton sets, finite and infinite sets, equal and equivalent sets

Recommended

Irrational Numbers and real numbers (Mathematics)
Irrational Numbers and real numbers (Mathematics)Irrational Numbers and real numbers (Mathematics)
Irrational Numbers and real numbers (Mathematics)
Pranav Sharma
 
Graphs of polynomials (Mathematics, polynomials)
Graphs of polynomials (Mathematics, polynomials)Graphs of polynomials (Mathematics, polynomials)
Graphs of polynomials (Mathematics, polynomials)
Pranav Sharma
 
representation of decimal number to the pq form.pdf
representation of decimal number to the pq form.pdfrepresentation of decimal number to the pq form.pdf
representation of decimal number to the pq form.pdf
Pranav Sharma
 
problems on types of functions-II (Relations and functions)
problems on types of functions-II (Relations and functions)problems on types of functions-II (Relations and functions)
problems on types of functions-II (Relations and functions)
Pranav Sharma
 
General proofs of irrational numbers.pdf
General proofs of irrational numbers.pdfGeneral proofs of irrational numbers.pdf
General proofs of irrational numbers.pdf
Pranav Sharma
 
problems on types of functions (relations and functions)
problems on types of functions (relations and functions)problems on types of functions (relations and functions)
problems on types of functions (relations and functions)
Pranav Sharma
 
types of functions (relations and functions)
types of functions (relations and functions)types of functions (relations and functions)
types of functions (relations and functions)
Pranav Sharma
 
equivalence relation and equivalence class
equivalence relation and equivalence classequivalence relation and equivalence class
equivalence relation and equivalence class
Pranav Sharma
 

Recommended

Irrational Numbers and real numbers (Mathematics)
Irrational Numbers and real numbers (Mathematics)Irrational Numbers and real numbers (Mathematics)
Irrational Numbers and real numbers (Mathematics)
Pranav Sharma
 
Graphs of polynomials (Mathematics, polynomials)
Graphs of polynomials (Mathematics, polynomials)Graphs of polynomials (Mathematics, polynomials)
Graphs of polynomials (Mathematics, polynomials)
Pranav Sharma
 
representation of decimal number to the pq form.pdf
representation of decimal number to the pq form.pdfrepresentation of decimal number to the pq form.pdf
representation of decimal number to the pq form.pdf
Pranav Sharma
 
problems on types of functions-II (Relations and functions)
problems on types of functions-II (Relations and functions)problems on types of functions-II (Relations and functions)
problems on types of functions-II (Relations and functions)
Pranav Sharma
 
General proofs of irrational numbers.pdf
General proofs of irrational numbers.pdfGeneral proofs of irrational numbers.pdf
General proofs of irrational numbers.pdf
Pranav Sharma
 
problems on types of functions (relations and functions)
problems on types of functions (relations and functions)problems on types of functions (relations and functions)
problems on types of functions (relations and functions)
Pranav Sharma
 
types of functions (relations and functions)
types of functions (relations and functions)types of functions (relations and functions)
types of functions (relations and functions)
Pranav Sharma
 
equivalence relation and equivalence class
equivalence relation and equivalence classequivalence relation and equivalence class
equivalence relation and equivalence class
Pranav Sharma
 
Various types of relations (Relations and functions)
Various types of relations (Relations and functions)Various types of relations (Relations and functions)
Various types of relations (Relations and functions)
Pranav Sharma
 
Laws of set operations (Sets, relations and functions)
Laws of set operations (Sets, relations and functions)Laws of set operations (Sets, relations and functions)
Laws of set operations (Sets, relations and functions)
Pranav Sharma
 
subsets of R as intervals (sets, relations and functions)
subsets of R as intervals (sets, relations and functions)subsets of R as intervals (sets, relations and functions)
subsets of R as intervals (sets, relations and functions)
Pranav Sharma
 
Subset and power set (Sets, relations and funtions)
Subset and power set (Sets, relations and funtions)Subset and power set (Sets, relations and funtions)
Subset and power set (Sets, relations and funtions)
Pranav Sharma
 
operations on sets (sets relations functions)
operations on sets (sets relations functions)operations on sets (sets relations functions)
operations on sets (sets relations functions)
Pranav Sharma
 
Introduction to sets (sets, relations and functions)
Introduction to sets (sets, relations and functions)Introduction to sets (sets, relations and functions)
Introduction to sets (sets, relations and functions)
Pranav Sharma
 
Proof's Related to irrational numbers - I
Proof's Related to irrational numbers - IProof's Related to irrational numbers - I
Proof's Related to irrational numbers - I
Pranav Sharma
 
Word Problems on HCF and LCM (Real Numbers)
Word Problems on HCF and LCM (Real Numbers)Word Problems on HCF and LCM (Real Numbers)
Word Problems on HCF and LCM (Real Numbers)
Pranav Sharma
 
To test decimal representation of rational Numbers.pdf
To test decimal representation of rational Numbers.pdfTo test decimal representation of rational Numbers.pdf
To test decimal representation of rational Numbers.pdf
Pranav Sharma
 
Fundamental theorem of arithmetic (Real numbers)
Fundamental theorem of arithmetic (Real numbers)Fundamental theorem of arithmetic (Real numbers)
Fundamental theorem of arithmetic (Real numbers)
Pranav Sharma
 
Euclid's Division algorithm (Number system)
Euclid's Division algorithm (Number system)Euclid's Division algorithm (Number system)
Euclid's Division algorithm (Number system)
Pranav Sharma
 
Euclid's Division Lemma (Divisibility, number system)
Euclid's Division Lemma (Divisibility, number system)Euclid's Division Lemma (Divisibility, number system)
Euclid's Division Lemma (Divisibility, number system)
Pranav Sharma
 
Representation of rational numbers on number line
Representation of rational numbers on number lineRepresentation of rational numbers on number line
Representation of rational numbers on number line
Pranav Sharma
 
Decimal Representation of rational numbers
Decimal Representation of rational numbersDecimal Representation of rational numbers
Decimal Representation of rational numbers
Pranav Sharma
 
Finding rationals between given rational numbers
Finding rationals between given rational numbersFinding rationals between given rational numbers
Finding rationals between given rational numbers
Pranav Sharma
 
Rational Number (pq form) (Number Systems)
Rational Number (pq form) (Number Systems)Rational Number (pq form) (Number Systems)
Rational Number (pq form) (Number Systems)
Pranav Sharma
 
Divisibility Tests (Basic Number Systems)
Divisibility Tests (Basic Number Systems)Divisibility Tests (Basic Number Systems)
Divisibility Tests (Basic Number Systems)
Pranav Sharma
 
Divisibility of numbers (Number Systems)
Divisibility of numbers (Number Systems)Divisibility of numbers (Number Systems)
Divisibility of numbers (Number Systems)
Pranav Sharma
 
Natural Numbers, Whole Numbers, Integers.pdf
Natural Numbers, Whole Numbers, Integers.pdfNatural Numbers, Whole Numbers, Integers.pdf
Natural Numbers, Whole Numbers, Integers.pdf
Pranav Sharma
 
Advanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdf
Advanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdfAdvanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdf
Advanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdf
Pranav Sharma
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
Celine George
 
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Pooja Bhuva
 

More Related Content

More from Pranav Sharma

More from Pranav Sharma (20)

Various types of relations (Relations and functions)
Various types of relations (Relations and functions)Various types of relations (Relations and functions)
Various types of relations (Relations and functions)
 
Laws of set operations (Sets, relations and functions)
Laws of set operations (Sets, relations and functions)Laws of set operations (Sets, relations and functions)
Laws of set operations (Sets, relations and functions)
 
subsets of R as intervals (sets, relations and functions)
subsets of R as intervals (sets, relations and functions)subsets of R as intervals (sets, relations and functions)
subsets of R as intervals (sets, relations and functions)
 
Subset and power set (Sets, relations and funtions)
Subset and power set (Sets, relations and funtions)Subset and power set (Sets, relations and funtions)
Subset and power set (Sets, relations and funtions)
 
operations on sets (sets relations functions)
operations on sets (sets relations functions)operations on sets (sets relations functions)
operations on sets (sets relations functions)
 
Introduction to sets (sets, relations and functions)
Introduction to sets (sets, relations and functions)Introduction to sets (sets, relations and functions)
Introduction to sets (sets, relations and functions)
 
Proof's Related to irrational numbers - I
Proof's Related to irrational numbers - IProof's Related to irrational numbers - I
Proof's Related to irrational numbers - I
 
Word Problems on HCF and LCM (Real Numbers)
Word Problems on HCF and LCM (Real Numbers)Word Problems on HCF and LCM (Real Numbers)
Word Problems on HCF and LCM (Real Numbers)
 
To test decimal representation of rational Numbers.pdf
To test decimal representation of rational Numbers.pdfTo test decimal representation of rational Numbers.pdf
To test decimal representation of rational Numbers.pdf
 
Fundamental theorem of arithmetic (Real numbers)
Fundamental theorem of arithmetic (Real numbers)Fundamental theorem of arithmetic (Real numbers)
Fundamental theorem of arithmetic (Real numbers)
 
Euclid's Division algorithm (Number system)
Euclid's Division algorithm (Number system)Euclid's Division algorithm (Number system)
Euclid's Division algorithm (Number system)
 
Euclid's Division Lemma (Divisibility, number system)
Euclid's Division Lemma (Divisibility, number system)Euclid's Division Lemma (Divisibility, number system)
Euclid's Division Lemma (Divisibility, number system)
 
Representation of rational numbers on number line
Representation of rational numbers on number lineRepresentation of rational numbers on number line
Representation of rational numbers on number line
 
Decimal Representation of rational numbers
Decimal Representation of rational numbersDecimal Representation of rational numbers
Decimal Representation of rational numbers
 
Finding rationals between given rational numbers
Finding rationals between given rational numbersFinding rationals between given rational numbers
Finding rationals between given rational numbers
 
Rational Number (pq form) (Number Systems)
Rational Number (pq form) (Number Systems)Rational Number (pq form) (Number Systems)
Rational Number (pq form) (Number Systems)
 
Divisibility Tests (Basic Number Systems)
Divisibility Tests (Basic Number Systems)Divisibility Tests (Basic Number Systems)
Divisibility Tests (Basic Number Systems)
 
Divisibility of numbers (Number Systems)
Divisibility of numbers (Number Systems)Divisibility of numbers (Number Systems)
Divisibility of numbers (Number Systems)
 
Natural Numbers, Whole Numbers, Integers.pdf
Natural Numbers, Whole Numbers, Integers.pdfNatural Numbers, Whole Numbers, Integers.pdf
Natural Numbers, Whole Numbers, Integers.pdf
 
Advanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdf
Advanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdfAdvanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdf
Advanced Mathematics_ Vector Calculus_Differential calculus_Lecture 1.pdf
 

Recently uploaded

Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
AnaAcapella
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
Association for Project Management
 

Recently uploaded (20)

How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
 
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
 
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
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Towards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxTowards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptx
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024