Which mathematical concept illustrates the relationship using pairs of values?

The concept that illustrates a relationship using pairs of values is an ordered pair. An ordered pair consists of two elements, typically written in the form (x, y). This notation is commonly used in coordinate geometry to represent points on a plane. The first value, x, usually corresponds to a horizontal position, while the second value, y, corresponds to a vertical position.

Ordered pairs enable the representation of relationships between two quantities, allowing for visual interpretation as points on a graph. For instance, the ordered pair (3, 5) indicates that at x = 3, the corresponding value of y is 5. This concept is fundamental in mathematics, particularly in functions where each input (x) is associated with exactly one output (y), forming a relationship that can be examined and graphed.

While equations, inequalities, and expressions are all important mathematical concepts, they do not specifically denote relationships using pairs of values in the same direct manner as ordered pairs do. An equation can express a relationship between variables, but it does not necessarily showcase specific pairs of values. An inequality shows a relationship of less than or greater than, and an expression represents a mathematical phrase without a relationship to specific variable pairs.