What is the opposite of an ordered pair?

The opposite of an ordered pair ((a, b)) is typically considered to be ((b, a)), where the elements are swapped. In the context of mathematical functions or relations, you might also refer to the inverse relation, which consists of all pairs ((b, a)) for each ((a, b)) in the original set. The specific meaning of "opposite" can vary depending on the context in which the ordered pair is used.