Answered

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let z be the set of all integers and let a0 5 {n [ z u n 5 4k, for some integer k} a1 5 {n [ z u n 5 4k 1 1, for some integer k} a2 5 {n [ z u n 5 4k 1 2, for some integer k} and a3 5 {n [ z u n 5 4k 1 3, for some integer k}. is {a0, a1, a2, a3} a partition of z? explain your answer.

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