Reciprocal

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

${\displaystyle \frac{1}{a}}<{\displaystyle \frac{1}{b}}$

Result

Yes

No

Step-by-step explanation:

$$\begin{gathered} {\displaystyle \frac{1}{a}}<{\displaystyle \frac{1}{b}} \\ {\displaystyle \frac{b}{ab}}<{\displaystyle \frac{a}{ab}} \\ b<a\Rightarrow a>b \end{gathered}$$

Try another example

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