In real life, we often come across collection of objects viz.
#Cricket Team
#Pack of Cards
#Members of a Club
In mathematics, we also come across collections, examples are.
#Odd natural numbers
#Even natural numbers
#Numbers which is divisible by 3 and less than 20.
If you observe each example is well-defined collection of objects. It means that we can clearly tell whether an object belongs to a collection or not.
From the above examples and observation we can define a set.
Set- A set is a well-defined collection of objects.
Sets are usually denoted by capital letters A, B, C, D,……..
Elements are members of a set are usually represented by small letters a, b, c, d,……
Representation of Sets-
There are two methods to represent a set.
1- Tabular or Roster form
2- Set-Builder form
- In tabular form all the elements of a set are listed and separated by comma, and are enclosed within curly braces { }.
Example- V={a, e, i , o ,u}
- In set-builder form the same set would be written
V={x: x is a vowel in English alphabets}
See the explanation in video
See examples in the post