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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

Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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