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Let D denote the set of all real numbers that can be written as a decimal point followed by some combination of the digits 3, 5 and 7. For example.33333....,.77777.....,.55555......,and..375375375.... are among the numbers in set D. Notice that the set D is contained in but not= to the interval [ 0,1]. Do you believe it is possible to match the set D with the set of natural numbers, i,e., NAT={1,2,3}? Justify your answer carefully and indicate how this problem is similar to one we have considered in class.

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