Let Z be the set of all integers and let A0 ={ n Z
Chapter 6, Problem 6.42(choose chapter or problem)
Let Z be the set of all integers and let A0 ={ 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},and A3 ={ 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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