1. Use cardinality to show that between any two rational numbers
there is an irrational number....
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Advance Math
1. Use cardinality to show that between any two rational numbersthere is an irrational number. Hint: Given rational numbers a
2. Let X be any set. Show that X and P(X) do not have the samecardinality. Here P(X) denote the power set of X. Hint: Use a proofby contradiction. If a bijection:X?P(X)exists, use it to constructa set Y ?P(X) for which Y is not in the range of f.
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