The archimedean property for the rational numbers states


a. The Archimedean property for the rational numbers states that for all rational numbers r, there is an integer n such that n > r. Prove this property.

b. Prove that given any rational number r, the number -r is also rational.

c. Use the results of parts (a) and (b) to prove that given any rational number r, there is an integer m such that m

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Mathematics: The archimedean property for the rational numbers states
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