Understanding Roster Notation | A Comprehensive Guide to Set Representation

roster notation

Roster notation, also known as set notation or enumeration notation, is a way to represent a set by listing all its elements

Roster notation, also known as set notation or enumeration notation, is a way to represent a set by listing all its elements. In roster notation, the elements of the set are enclosed in curly braces ({}) and separated by commas.

For example, let’s say we have a set of numbers that represent the days of the week: {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}. This is how we would represent this set in roster notation.

Sometimes, instead of listing all the elements of a set, we can use an ellipsis (…) to represent a pattern. For example, if we have a set of even numbers between 1 and 10, we can write {2, 4, 6, 8, 10} or we can use an ellipsis and write {2, 4, 6, 8, 10}.

Roster notation is particularly useful when dealing with small sets or when we need to explicitly state every element in a set. However, it becomes impractical for larger sets or sets with infinite elements, such as the set of all real numbers.

In summary, roster notation is a way to represent a set by listing all its elements inside curly braces, separated by commas.

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