Exercício Resolvido de Inequações
a)
\( x^{2}-5x+6>0 \)
\[
\begin{gathered}
x^{2}-5x+6=0\\[5pt]
\Delta=b^{2}-4\mathit{ac}=(-5)^{2}-4.1.6=25-24=1\\[5pt]
t=\frac{-b\pm\sqrt{\Delta \;}}{2a}=\frac{-(-5)\pm \sqrt{1\;}}{2.1}=\frac{5\pm 1}{2}\\[5pt]
x=2\qquad \text{ou}\qquad x=3
\end{gathered}
\]
\[ \bbox[#FFCCCC,10px]
{V=\left.\phantom{{}}\right]\;-\infty ;2\;\left[\phantom{{}}\right.\;\cup\;\left.\phantom{{}}\right]\;3;+\infty \;\left[\phantom{{}}\right.}
\]