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Sets can be expressed in three ways:
- The set of all even natural numbers.
- Set \(A =\) {\(x | x\) is an even natural number}.
- Set \(A =\) .
All the above lines represent the same meaning in different forms.
Thus, a set can be represented in any one of the following ways.
- Descriptive form.
- Set builder form/Ruler form.
- Roster form/Tabular form.
A set is described in words is called descriptive form.
- The set of odd natural numbers less than \(20\).
- The set of all first four months of the year.
A rule describes all the elements is called a set builder or ruler form.
A set is described by listing all the elements of it that are called as a Roster form.