Related to Real Analysis

Use the Archimedean property to show that if r, s ∈ R and r < s, there is a q ∈ Q such that r < q < s. (Hint: pick n ∈ N , n > 1/(s − r), and find an m ∈ N such that r < (m/n) < s.)

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Erdos Erdos
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