A set is a collections of things grouped together with a certain property in common. Sets are the fundamental property of mathematics which, when applied in different situations, become the powerful building block of mathematics. Among all the complex formulae and branches of mathematics, including Graph Theory, Abstract Algebra, Real Analysis, Complex Analysis, Linear Algebra, Number Theory, there is one thing that all of these share in common: Sets. To notate a set, place the elements inside curly brackets. U is the union of the sets, referring to all the members of all the individual sets, which in this case are all the letters from q to z. Each set are given members listed in the curly brackets and it is noticeable that some elements are shared by A and B (q, s, y), B and C (y, z) and A and C (w, y). Where B intersects both A and C, one must list those elements which are shared by both A and C separately, and mark the new set. The new set only includes those commonly shared between A and B, and A and C, making the new set {q,s,y,z}. It is a very simple formula and is the basis for harder study.
