... belong to any of the cells.Furthermore, (ii) is not a partition of X since 56^ and 5 belongs to both {1,3,5} and {5, 7, 9}. On theother hand, (iii) is a partition of X since eachelement of X belongs ... for the union and intersection,respectively, of a sequence of sets. Definition: Anonempty class cA of subsets of U is called analgebra (o-algebra) of sets if: (i) the complement of any set in ... (i) The union of A and Вconsists of the elements in A or in В (or both);hence AuB = {a,b,d,e}. (ii) The intersection of A and В consists of those elements which belong toboth A and B; hence...