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In this video tutorial, we learn about sets, which are groups of elements shown within curly braces. An empty set has no elements, while a set with one element, like a butterfly, is written with that element listed. Sets with more elements are listed between the curly braces using the roster method. The set builder notation describes a set based on a specific rule, like all vowels. This notation is commonly used for sets with an infinite number of elements, such as the set of even counting numbers. The symbol "∈" is used to show that an item is a member of a set.