## Question

###### 2 Let S = reRlr=n+0, n â‚¬ N} and define f : N = $ by f(n) = n + V_ Since; by definition; S = f(N); it follows that f is onto.(a) Show that f is one-to-one_ (b) Is S denumerable? Explain.

2 Let S = reRlr=n+0, n â‚¬ N} and define f : N = $ by f(n) = n + V_ Since; by definition; S = f(N); it follows that f is onto. (a) Show that f is one-to-one_ (b) Is S denumerable? Explain.

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