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Element

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An element, also called a member, is an object contained within a set or class.

A=\{1,\,2,\,3,\,4\} means set A contains the elements 1, 2, 3 and 4.

To show that an element is contained within a set, the \in symbol is used. The opposite of \in is \notin, which means the element is not contained within the set.

Sets as Elements

Elements can also be sets. For example, B = \{1,\,2,\,\{3,\,4\}\}. The elements of B are 1, 2, and \{3,\,4\}.

See Also

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.
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