Prove that if a, b E JR, and a > b, then there exists a rational number min such that a
Chapter 31, Problem 31.21(choose chapter or problem)
Prove that if a, b E JR, and a > b, then there exists a rational number min such that a >min> b. Compare 31.22. [SuggestIOn: By 31.18 there is a positive integern such thatn(a - b) > 1, or (a - b) :> I/n. Letm be the least mteger such thatm > nb. Then(m-l)/nsb,andsom/n=(m- l)/n+l/n
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