Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a) the negative integers b) the even integers c) the integers less than 100 d) the real numbers between 0 and (1)/(2) e) the positive integers less than 1,000,000,000 f) the integers that are multiples of 7 | Numerade
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SOLVED: Give an example of two uncountable sets A and B such that A ∩B is a) finite. b) countably infinite. c) uncountable. | Numerade
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Determine whether each of these sets is countable or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a) all bit strings not containing the bit 0 b) all positive rational numbers that cannot be written with denominators less than 4 c) the real numbers not containing 0 in their decimal rep- resentation d) the real numbers containing only a finite number of Is in their decimal representation | Numerade
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