# Reciprocal

It is true (prove it) that if a> b> 0:

$\dfrac{1}{a}< \dfrac{1}{b}$

Result

#### Solution:

$\dfrac{1}{a}< \dfrac{1}{b} \ \\ \dfrac{b}{ab}< \dfrac{a}{ab} \ \\ \ \\ b < a \Rightarrow a > b \ \\$

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