relation
A ___ is any set of ordered pairs.
A relation is a concept in mathematics that defines the connection or association between two or more objects, elements, or quantities. In mathematics, a relation is typically represented as a set of ordered pairs. Each ordered pair consists of a first element (also known as the domain) and a second element (also known as the range). The domain represents the set of all possible input values, while the range represents the set of all possible output values.
For example, suppose we have the relation R = { (1,2), (2,4), (3,6) }. In this case, the domain is {1,2,3} and the range is {2,4,6}. The relation R states that if we input 1, we get 2 as the output; if we input 2, we get 4 as the output; and if we input 3, we get 6 as the output.
In summary, a relation is a way to describe how one set of values is related to another set of values. Relations play an important role in various fields of mathematics, including algebra, calculus, and geometry.
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