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# What is a relation in math?

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In math, a relation describes how elements from one set, A, are related to elements of a second set, B, in terms of ordered pairs (x,y). For example, in a set of ordered pairs, the x-values can be the elements from set A and make up the domain. The y-values can be the elements from set B and form the range.

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When finding the range for sets of ordered pairs, only the elements utilized in the relation make up the range. An example of this is using the following information: set A (x-values) contains the points (2, 4 and 3), set B has (y-values) with points (1, 6, 7, 8, 9 and 5) and the relation given is the set of ordered pairs (2,6), (4,6) and (3,7). In this example, the domain is (2, 4 and 3), the x-values of the ordered pairs of the given relation, while the range is (6 and 7), or the y-values. It is evident that not all the points contained in set B were used.

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