Use the results of exercise and the well-ordering
Chapter 5, Problem 23E(choose chapter or problem)
Use the results of exercise and the well-ordering principle for the integers to show that given any rational number r, there is an integer m such that m ? r 1.Exercisea. 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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