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d) In this exercise you will show that Z ~ N. i) Show that N ~ {2, 4,6, ...} and that N ~ {3, 5,7,...}

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d) In this exercise you will show that Z ~ N. i) Show that N ~ {2, 4,6, ...} and that N ~ {3, 5,7,...} that by giving a 1 - 1 and onto function from f : N - {2, 4, 6, . ..} and a 1-1 and onto function from g : N - {3,5,7, .. . }. [4 marks] ii) Show that Z - N by giving a 1 - 1 and onto function h : Z - N of the form ? if k > 0, h (k ) = if k = 0, ? if k

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