Let T = {1, 2,..., 8}.(a) Determine the elements of the set A = {a T : 2m a (mod 9) for

Chapter 4, Problem 4.97

(choose chapter or problem)

Let T = {1, 2,..., 8}.(a) Determine the elements of the set A = {a T : 2m a (mod 9) for some m N}.(b) Determine the elements of the set B = {a T : 5m a (mod 9) for some m N}.(c) What property do the sets A and B have in (a) and (b)?

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