What is Sets?
A set is any well-defined collection of objects called the elements. It can be collection of any objects such as collection of all wooden chairs, collection of numbers etc. Set should be well defined i.e.; it is possible to decide whether
given object is belongs to set or not.
Generally, there are two ways to represent
a set.
1. In numerated way/ Tabular form- In this method, all members of the set
are listed explicitly.
Example- A set of numbers from 1 to 10. A= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. Symbolic way/ Set builder form- In this method, general notations are used that describes the common property of each element in the set.
Example- N= {1, 2, 3, 4, 5}
= {x / x N, x is natural numbers from 1 to 10}
Some examples of set are
1. Z+ = {x / x is a positive integer}. Thus Z+ consists of the numbers used for
counting 1, 2, 3, ….
2. N= {x / x is a positive integer or zero} = {x / x is a natural number}. Thus, N consists of the positive integers and zero.
3. If A = (1, 2, 3) and B = {x / x is a positive integer and x2 < 12}, then A = B.
