This document provides an introduction to sets and Venn diagrams. It defines what a set is, different ways to represent sets, and different types of sets. It then introduces Venn diagrams as a way to visually represent logical relationships between sets using circles and rectangles. An example Venn diagram is provided showing the relationship between days of the week. Finally, the document defines and provides examples of the set operations of union, intersection, and complement.

1. Submitted By : Submitted To :
NETAJI SUBHAS UNIVERSITY
POKHARI JAMSHEDPUR
DEPARTMENT : IT DEPARTMENT
COURSE : BCA
SEMESTER & SECTION : 1st SEMESTER, SEC ‘A’
Presenting Presentation on
Introduction to Sets & Venn Diagrams,
Operation on Sets

2. 1. Introduction to Sets
2. Example on Sets
3. Description of a set
4. Roster form
5. Set-Builder form
6. Types of Sets
7. Introduction to Venn Diagrams
8. Example on Venn Diagrams
9. Operation on Sets : Union of sets
Intersection of sets
Complement of a sets

9. Introduction to Venn
Diagrams
A Venn diagram or set diagram is a diagram that
shows all possible logical relation between a finite
collection of sets. Venn diagrams were conceived
around 1880 by John Venn. They are used to teach
elementary set theory, as well as illustrate simple set
relationships in probability, logic, statistic linguistics
and computer science

10. Venn consist of rectangles and closed curves usually
circles. The universal is represented usually by
rectangles and its subsets by circle.

11. Example on Venn diagram
The language of sets
The Universal set (U) contain all
the element being considered in a
particular problem.
Let U = {days in the week}
And A = {Tuesday, Thursday}
These can be shown on a Venn diagram
Here,
The number of elements in set A is 2
Tuesday ϵ A and Wednesday ϵ A
A
Tuesday
Thursday
Monday
Wednesday
Saturday
Sunday
Friday
"
U

12. Operations on Sets
1. Union of sets
Let A and B be two sets. The union of A and B is
the set of all those element which belong either
to A or to B or to both A and B. The notation
A U B (read as “A union B”)
Thus, A U B = { x : xϵA or xϵB}
Clearly, x ϵ A U B  xϵA or xϵB
And, x ϵ A U B  xϵA or xϵB

13. 2. Intersection of Sets
Let A and B be two sets. The intersection of A and B
is the set of all those element that belong to both
A and B. The intersection of A and B is denoted by
A Ո B (read as “A intersection B”)
Thus, AՈB = {x : x ϵ A and x ϵ B}
Cleary, x ϵ AՈB  x ϵ A and xՈB

14. 3. Complement of a set
Let U be the universal set and let A be a set
such that A ⸦ U. then the complement of A
with respect to U is denoted by U-A or Ac
and is defined the set of all those elements of
U which are not in A.
Thus Ac = {x ϵ U : x ϵ A}
Clearly, x ϵ Ac  x ϵ A

15. Thank You
For Your Attention