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The two methods for naming sets are the roster method and the set-builder notation. The roster method lists all the elements of a set within curly braces, such as ( A = {1, 2, 3} ). In contrast, set-builder notation describes the properties or rules that define the elements of a set, such as ( B = { x \mid x \text{ is an even number}} ). Both methods effectively communicate the contents of a set in different ways.

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