Find An Equivalence Relation On N 1 With Set Of Equivalence Classes Equal To Eac

Find an equivalence relation on N1 with set of equivalence classes equal to each partition.

(a) {{1, 4, 7, . . .}, {2, 5, 8, . . . , }, {3, 6, 9, . . .}}.

(b) {{1, 2}, {3, 4}, {5, 6}, {7, 8}, . . .}.

(c) {{1}, {2, 3}, {4, 5, 6, 7}, {8, . . . , 15}, {16, . . . , 31}, . . .}.

(d) {N1}.