What is a set of ordered pairs called?

In mathematics, a set of ordered pairs is a collection of pairs of elements, where each pair consists of two elements in a specific order. This type of set is commonly used to represent relationships between two different sets of objects or quantities.

Ordered pairs are typically written in the form (x, y), where x and y represent the two elements in the pair. The order of the elements is important in this notation, as changing the order of the elements would create a different pair.

Ordered pairs are commonly used in coordinate geometry to represent points on a plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position. They can also be used in various mathematical functions, equations, and relationships to show how one quantity depends on another.

Overall, ordered pairs are a fundamental concept in mathematics, providing a way to organize and represent relationships between different elements in a specific order.