# Sets and Relations

Sub Topics

Sets

In daily life, we have to deal with collections of objects.

For example: (i) collection of odd natural numbers less than 15 (ii) all vowels of English alphabet etc.

Each of collection is a set

We will discuss here about the different properties of sets

Relations

The concept of relation refers to association of two objects.

Let A, B be two (non-empty) sets then a relation from A to B is a rule which associates elements of sets A to elements of set B.

We shall discuss different kind of relation

## Sets and Relations Representation

Representation of a set can be in following 3 ways

1. Description set
2. Roaster method or table method
3. Set builder method

1. Finite set
2. Infinite set
3. Empty set
4. Universal set
5. Cardinal number of a finite set
6. Equal sets
7. Equivalent sets
8. Overlapping sets
9. Disjoint sets

10. Subsets

11. Proper subsets

Word problems consists of a condition in which equation are formed using basic operation on sets