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  3. 1. use cardinality to show that between any two ra

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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