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4. (10pt) (Misc.) (1) Let Q be the set of all rational numbers, and let I be the set of all irrational numbers. Based on

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4. (10pt) (Misc.) (1) Let Q be the set of all rational numbers, and let I be the set of all irrational numbers. Based on your study of cardinality of infinite sets, which of the two cardinalities lQl and /l is larger? (2) Show that the power set 2N of N is uncountable, where N {1, 2, 3, ) is the set of all natural numbers

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