Set roster notation, also known as enumeration notation, is a method of representing sets by listing all the elements of the set in a row, separated by commas, and enclosed within curly brackets {}. This notation is straightforward and easy to understand, especially for small sets.

Definition and Examples

In set roster notation, the elements of a set are explicitly listed. For example, if we have a set of the first five natural numbers, it can be represented as:

Similarly, a set of vowels in the English alphabet can be represented as:

The order of elements in roster notation does not matter, and elements should not be repeated. For instance, the set of the first seven natural numbers can be written as:

or

Both representations are equivalent.

Limitations