Set algebra is fundamental to all of modern mathematics. Indeed, sets form the very foundation of mathematics. The algebra of sets consists of the operations union, intersection, and complement. Suppose S and T are sets. The union of S and T is written S T and equals the set that contains every element of S and every element of T and no other elements. The intersection of S and T is written S T and is the set that contains only those elements that are contained in both S and T. S and T are said to be disjoint if their intersection is the empty set. The complement of S in T is the set of all elements in T that are not in S. It is sometimes denoted by T - S or T\S. If S is a subset of T then...