What best describes a relation in mathematics?

What best describes a relation in mathematics?

• A. A single ordered pair
• B. A set of numbers
• C. A set of ordered pairs
• D. A function

Answer: (C)

A relation is a way to link elements from two sets by pairing them. It is any set of ordered pairs (a, b) where each pair connects an input from the first set to an output from the second. This means a relation can have just one pair, many pairs, or even be empty, so describing it as a set of ordered pairs fits all cases. A function is a special kind of relation with the extra rule that each input is paired with exactly one output, so while every function is a relation, not every relation is a function.

A relation is a way to link elements from two sets by pairing them. It is any set of ordered pairs (a, b) where each pair connects an input from the first set to an output from the second. This means a relation can have just one pair, many pairs, or even be empty, so describing it as a set of ordered pairs fits all cases. A function is a special kind of relation with the extra rule that each input is paired with exactly one output, so while every function is a relation, not every relation is a function.