Similarly, all odd integers are related to one and no even integer is related to one Therefore, the set E of all even integers and the set O of all odd integers are subsets of
Z satisfying following conditions:
(i)
All elements of E are related to each other and all elements of O are related to
each other (ii)
No element of E is related to any element of O and vice-versa (iii)
E and O are disjoint and Z = E ∪ O