Let Z be the set of all integers and letA0 = {n Z

Chapter 6, Problem 30E

(choose chapter or problem)

Let Z be the set of all integers and letA0 = {n ? Z | n = 4k, for some integer k},A1 ={n ? Z | n = 4k + 1, for some integer k},A2 = {n ? Z | n = 4k + 2, for some integer k}, andA3 = {n ? Z | n = 4k + 3, for some integer k}.Is {A0, A1, A2, A3} a partition of Z? Explain your answer.

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