👉 Purchases math is a branch of mathematics that deals with the study of sets of ordered pairs, where each pair consists of two elements from a given set, often representing quantities or items. It extends the concept of set theory by incorporating arithmetic operations such as addition, subtraction, multiplication, and division within these ordered pairs. For instance, given two sets A = {a1, a2} and B = {b1, b2}, the set of all ordered pairs (a, b) where a is in A and b is in B forms a multiplication set, and the set of all ordered pairs (a, -b) where a is in A forms an addition set. This allows for the exploration of algebraic structures and relationships between different mathematical objects, providing a foundational framework for more advanced topics in abstract algebra and mathematical logic.