Question

Resolvendo, no conjunto R, a inequação do segundo grau x2 – 7x + 6 > 0. Temos como conjunto solução:

x < 2 ou x < 9

x < 0 ou x < 8

x < -1 ou x < 3

x < 2 ou x < 7

x < 1 ou x < 6

Answer 1

$\boxed{\begin{array}{c}\sf{Resolvendo, ~no~conjunto~\mathbb{R}}\\\sf{a~inequac_{\!\!,}\tilde{a}o~do~segundo~grau}\\\sf{x^2-7x+6\textgreater0.}\\\sf{Temos~como~conjunto~soluc_{\!\!,}\tilde{a}o:}\end{array}}$

$\rm{a)}~\sf{x\textless2~ou~x\textless9}\\\rm{b)} ~\sf{x\textless0~ou~x\textless8}\\\rm{c)}~\sf{x\textless-1~ou~x\textless3}\\\rm{d)}~\sf{x\textless2~ou~x\textless7}\\\rm{e)}~\sf{x\textless1~ou~x\textless6}$

$\huge\sf{\underline{Soluc_{\!\!,}\tilde{a}o:}}$

$\sf{f(x)=x^2-7x+6}\\\sf{f(x)=0\implies x^2-7x+6=0}\\\sf{s=-\dfrac{-7}{1}=7~~~p=\dfrac{6}{1}=6}\\\sf{x_1=6~~~x_2=1}\\\sf{f(x)\textgreater0\implies x\textless1~~ou~~x\textgreater6}$

$\sf{reveja~o~gabarito}$