# Set Builder Notation

A set is a collection of any particular items that are considered as one object in some respect. For example, set of even numbers less than 45, etc. A set name is always written in capital and the elements of the set are embraced in curly braces. If we represent the set in any other way too then also we embrace the representation of the set within curly braces. There are three ways of representing sets.

**1)**The first one is description. It means simply the statement of words that describes about the elements of the set.

**For example:**Set A is the set of all positive even numbers that are less than 100.

**2)**The second way of representing sets is the roster form. It is simply writing all the elements of the sets within curly braces. For example: A = {2, 4, 6, 8, 10, …,94, 96, 98}

**3)**The last method is known as set builder notation method.

**The common sets that are denoted in standard manner are**

**N**-> the set of natural numbers

**Z**-> the set of all integers

**R**-> the set of all real numbers

**C**-> the set of all complex numbers