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Set Notation: Roster and Set-Builder
There are two main ways to describe a set: roster (or tabular) form and set-builder notation. In roster form,
the elements of the set are listed explicitly within curly braces. For example, A = {1, 2, 3, 4} means set A
contains the elements 1, 2, 3, and 4.
Set-builder notation describes a set by specifying a property that its members must satisfy. For instance, A
= {x | x is a natural number less than 5} means A = {1, 2, 3, 4}. This notation is particularly useful for
describing large or infinite sets.
Roster Form Set-Builder Notation
A = {1, 2, 3, 4} A = {x | x is a natural number less than 5}
Lists all elements explicitly Describes elements using a property
