Résoudre dans R 5x-1/-3x>0 3x-4/x+2<0 Vous pouvez m’aidez svpll merciii en avancee

Bonjour,

[tex]\dfrac{5x-1}{-3x}\ \textgreater \ 0,x\neq 0\\\\5x-1\ \textgreater \ 0\\5x\ \textgreater \ 1\\\\x\ \textgreater \ \dfrac{1}{5}\\\\ \left[\begin{array}{c|ccccccc}x&-\infty&&0&&\dfrac{1}{5}&&+\infty\\5x-1&&-&&-&0&+&\\3x&&+&0&-&&-&\\f(x)&&-&0&+&0&-&\end{array}\right] \\\\\\x\in\left]0,\dfrac{1}{5}\right[[/tex]

[tex]\dfrac{3x-4}{x+2}\ \textless \ 0,x\neq -2\\\\3x-4\ \textless \ 0\\3x\ \textless \ 4\\\\x\ \textless \ \dfrac{4}{3}\\\\x+2\ \textless \ 0\\x\ \textless \ -2\\\\ \left[\begin{array}{c|ccccccc}x&-\infty&&-2&&\dfrac{4}{3}&&+\infty\\3x-4&&-&&-&0&+&\\x+2&&-&0&+&&+&\\f(x)&&+&||&-&0&+&\end{array}\right] \\\\\\x\in\left]-2,\dfrac{4}{3}\right[[/tex]