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In this exercise you will Show that Z N N. i) Show that N N {2, 4,6,...} and that N N {3, 5, 7,...} that
In this exercise you will Show that Z N N. i) Show that N N {2, 4,6,...} and that N N {3, 5, 7,...} that by giving a 1 1 and onto function from f : N > {2, 4, 6,. . .} and a 11 and onto function from g : N > {3, 5, 7, . . .} [4 marks] ii) Show that Z N N by giving a 1 1 and onto function h, : Z > N of the form ? if k > 0, h(k) = 1 if k = 0, ? if k
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