1.Tìm x thuộc Q, biết:
a)(x+1)(x-2)<0 b)(x-2)(x+2/3)>0
a,
[tex](x+1)(x-2)<0\\\Rightarrow x+1vax-2khac-dau\\\left\{\begin{matrix} x+1>0\\ x-2<0 \end{matrix}\right.\Rightarrow \left\{\begin{matrix} x>1\\ x<2 \end{matrix}\right.\\\Rightarrow 1<x<2\\\left\{\begin{matrix} x+1<0\\ x-2>0 \end{matrix}\right.\Rightarrow \left\{\begin{matrix} x<1\\ x>2 \end{matrix}\right.\\\Rightarrow mau-thuan\\[/tex]
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b,
[tex](x-2)(x+\frac{2}{3})>0\\\Rightarrow x-2vax+\frac{2}{3}cung-dau\\\left\{\begin{matrix} x-2>0\\ x+\frac{2}{3}>0 \end{matrix}\right.\Rightarrow \left\{\begin{matrix} x>2\\ x>\frac{-2}{3} \end{matrix}\right.\\\Rightarrow x>2\\\left\{\begin{matrix} x-2<0\\ x+\frac{2}{3}<0 \end{matrix}\right.\Rightarrow \left\{\begin{matrix} x<2\\ x<\frac{-2}{3} \end{matrix}\right.\\\Rightarrow x<\frac{-2}{3}\\[/tex]
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