What are the 2 ways or methods in naming the elements of a set?

The two primary methods for naming the elements of a set are roster notation and set-builder notation. Roster notation lists all the elements of the set explicitly, enclosed in curly braces (e.g., ( S = {1, 2, 3} )). In contrast, set-builder notation defines the elements by a property or rule that they satisfy, typically expressed as ( S = {x \mid x \text{ is a positive integer}} ).