Question

Determine a solução da inequação -x+5 SOBRE 2x-4 >0 Me ajudem pfvr

Answer 1

$\sf{\dfrac{-x+5}{2x-4}\textgreater0}$

$\sf{f(x)=-x+5}\\\sf{f(x)=0\implies x=\dfrac{-5}{-1}=5}\\\sf{f(x)\textgreater0\implies x\textless5}\\\sf{f(x)\textless0\implies x\textgreater5}$

$\sf{g(x)=2x-4}\\\sf{g(x)=0\implies x=\dfrac{-(-4)}{2}=2}\\\sf{g(x)\textgreater0\implies x\textgreater2}\\\sf{g(x)\textless0\implies x\textless2}$

$\boxed{\sf{S=\{x\in\mathbb{R}/2\textless x\textless5\}}}$