Question

10. Verify that the relations given below are quasiorders. List the elements of each equivalence class of the induced equivalence relation, and draw the Hasse (a) On the set (1,2,..., 303, define mn if and only if the sum of the digits (b) On the set (1.2,3,4,11, 12, 13,14,21,22,23,24), define mn if and only diagram for the induced partial order on the equivalence classes of m is less than or equal to the sum of the digits of n. if the set of digits of m is a subset of the set of digits of n. (c) On the set {1, 2, . . . , 20), f define m x nf and only if the highest power o 2 that divides m also divides n and the highest power of 3 that divides m also divides n (d) On the set 1,2,.., 20), define m n if and only if the highest power of 2 that divides m also divides n and the highest power of 5 that divides m also divides n.

Answer 1

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