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Let a and b be positive real numbers such that a + b = 1. Find the set of all possible values of a/b.

 Aug 5, 2025
 #1
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Find the set of all possible values of a/b.

 

\(a+b=1\\ a=1-b\\ b=1-a\\ \dfrac{a}{b}=\dfrac{a}{1-a}\)

 

\(\color{blue}Possibility_{\frac{a}{b}}= \{0<\mathbb R <∞\}\)

 

laugh  !

 Aug 6, 2025
edited by asinus  Aug 6, 2025

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