SET OPERATIONS By
Pradeep Kumar
Pradnya Mazagaonkar
Preeti Gusain
Priyanka Rai
Ramendra Yadav

What Is A Set? :

What Is A Set? Set- A collection of well defined objects.
Usually denoted by Capital letters.
Elements – Objects that form a set.
x ϵ S meaning ‘x belongs to S’
Representation of a set –
A = {2, 3, 5, 7,}
B = {x | x is a prime number; x < 10}

Types Of Sets :

Types Of Sets Singleton Set
C = {7}
Empty Set
D = { } or φ
Equal Sets
A = {2, 3} B = {2, 3}
A = B
Universal Set

Types Of Sets (Contd…) :

Types Of Sets (Contd…) Subset
If every element of set A is also an element of set B, then A is a subset of B.
A = {2,5} B = {1, 2, 3, 5, 7}
Every set is a subset of itself.
Compliment of a set X A’ A

Operations On Sets :

Operations On Sets Union Of Sets
If A and B are two subsets of Universal Set X, then the set of those elements which belong to A or to B or to both A and B, is called the union of the sets A and B and is denoted by
A U B X A B

Slide 6:

2. Intersection Of Sets
If A and B are two subsets of Universal Set X, then the set of those elements which belong to both A and B, i.e., which are common to both A and B, is called the intersection of the sets A and B and is denoted by A B X A B

Slide 7:

3. Disjoint Sets
Disjoint sets have no element in common, i.e., their intersection set does not contain any element. Hence A B = φ X A B

Properties Of Union and Intersection :

Properties Of Union and Intersection Properties Of Union
1. A U B = B U A
2. A U (B U C) = (A U B) U C
3. A U A = A
4. A U φ = A
5. A U X = X
6. A U A’ = X

Slide 9:

Properties Of Intersection
1. A B = B A
2. A (B C) = (A B) C
3. A A = A
4. A φ = φ
5. A X = A
6. A A’ = φ

De Morgan’s Laws :

De Morgan’s Laws (A U B)’ = A’ B’
2. (A B)’ = A’ U B’ X A B X A B

Slide 11:

THANK YOU

You do not have the permission to view this presentation. In order to view it, please
contact the author of the presentation.

Send to Blogs and Networks

Processing ....

Premium member

Use HTTPs

HTTPS (Hypertext Transfer Protocol Secure) is a protocol used by Web servers to transfer and display Web content securely. Most web browsers block content or generate a “mixed content” warning when users access web pages via HTTPS that contain embedded content loaded via HTTP. To prevent users from facing this, Use HTTPS option.

By: maynoon (116 month(s) ago)

gd luck