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1. Roster Form (or Tabular Form):
In roster form, a set is defined by listing all the elements within braces { }. For example, if we have a set of even numbers less than 10, it can be represented in roster form as {2, 4, 6, 8}. This form is useful for small sets with a finite number of elements.
2. Set-Builder Form (or Rule Form): In set-builder form, a set is defined by specifying a property or rule that the elements must satisfy. The set is represented as {x | P(x)}, where x is the variable that represents the elements of the set, and P(x) is the property or rule that defines which elements belong to the set. For example, the set of even numbers less than 10 can be represented in set-builder form as {x | x is an even number and x < 10}. This form is useful for defining sets with infinite elements or sets with a pattern or rule.