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hi everyone welcome to the first video in our real number line series well be discussing sets sets are a group of items called elements to show a set we place the elements in between curly braces like these [Music] a set without any elements is called an empty set or a null set shown by just the curly braces or this symbol here now let me give you an example of a set with one element a butterfly the more elements there are in a set the more we list between the curly braces [Music] this way of writing a set by listing the elements is called the roster method another way to show a set is called the set builder notation here you use a description fit for all the elements of the set this is read as the set of all elements x such that x is a vowel this is often used for sets with an infinite number of elements for example the set of even counting numbers [Music] when we refer to items that are members of a set we use this symbol the symbol means is an element of or is a member of for item
