Cho \(f(x)=\dfrac{2-3x}{5x-1}\) thì \(f\left( x \right)>0\) khi

Câu hỏi :

Cho \(f(x)=\dfrac{2-3x}{5x-1}\) thì \(f\left( x \right)>0\) khi

A. \(\dfrac{1}{5}<x<\dfrac{2}{3}.\)

B. \(\dfrac{1}{5}\le x\le \dfrac{2}{3}.\)

C. \(x\le \dfrac{1}{5}\vee x\ge \dfrac{2}{3}.\)

D. \(x\le \dfrac{1}{5}\vee x\ge \dfrac{2}{3}.\)

* Đáp án

A

* Hướng dẫn giải

\(2-3x=0\Leftrightarrow x=\dfrac{2}{3};5x-1=0\Leftrightarrow x=\dfrac{1}{5}. \)

\(\Rightarrow f\left( x \right)>0\Leftrightarrow \dfrac{1}{5}<x<\dfrac{2}{3}.\)

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