what is a relation in math

10 months ago 77
Nature

In mathematics, a relation is a connection between two sets of values, typically represented as a collection of ordered pairs containing one object from each set. If the object xxx is from the first set and the object yyy is from the second set, then the objects are said to be related if the ordered pair (x,y)(x,y)(x,y) is in the relation

. A relation can be represented in various forms, such as a set of ordered pairs, a table, a mapping, or a graph

. For example, the set of ordered pairs {(-1, 3), (-2, 5), (0,0), (-3, -1), (5,3)} represents a relation where each ordered pair shows the relationship between an element of the domain and an element of the range