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  3. let n = {1, 2, 3, 4, ...} be the set of natural nu

Let N = {1, 2, 3, 4, ...} be the set of natural numbers and...

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Basic Math

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Let N = {1, 2, 3, 4, ...} be the set of natural numbers and S= (1, 4, 9, 16, ...) be the set of squares of the natural numbers. Then N - S, since we have the one-to-one correspondence 1+1, 2+4, 39, 416, ... nn. (This example is interesting since it shows that an infinite set can be equivalent to a proper subset of itself.) Show that each of the following pairs of sets are equivalent by carefully describing a one-to-one correspondence between the sets. Complete parts (a) through (c) below.(a) The whole numbers and natural numbers, W= {0, 1, 2, 3, ...) and N= {1, 2, 3, 4, ...)Which of the following describes a one-to-one correspondence between the two sets?A. For each element in W, there is an element in N that is 1 greater than that element.B. For each element in W, there is an element in N that is double that element.OC. For each element in W, there is an element in N that is 1 greater than double that element.D. For each element in W, there is an element in N that is 2 greater than that element.

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