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To what set does the drawer numbering system correspond

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Reference no: EM131586763

Question: "Do you have a favorite number? We can move all the samples from that number onwards up a drawer, and then we can put your sample in the drawer with your favorite number . . . And there is no last sample, because there are infinitely many."

(a) To what set does the drawer numbering system correspond?

(b) Moving the samples can be described by a function. What is it? Make sure to specify the domain and target of the function as well as the defining rule.

(c) Is the function you just defined a bijection? If so, prove it; if not, explain why not.

(d) Consider the following statements: ∞ = ∞+1; ∞

Reference no: EM131586763

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