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Please answer question 10 and write legibly -thanks! 18 A Course in Real Analysis 10. Prove...

18 A Course in Real Analysis 10. Prove that between any pair of real numbers a < b there exist infinitely many rational numbe

Please answer question 10 and write legibly -thanks!

18 A Course in Real Analysis 10. Prove that between any pair of real numbers a < b there exist infinitely many rational numbers and infinitely many irrational numbers.
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Betwein any pein of meaf nubers a6 thore exist infinitty many yoafionals numoirs and infinitely many imratmar numbers 1S4 Parifinitely S0 between a amd o hare ane LPRoved many roatiena) numkaens, 2nd Parat Ea, J2 b ase md 12a <V2 b 2uch Yoapinmat mum

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