Đáp án:
Giải thích các bước giải:
|x-5/3| < 1/3
-1/3<x-5/3<1/3
-1/3+5/3<x<1/3+5/3
4/3<x<6/3
4/3 < x<2
|x+11/2| > | -5,5|
|x+11/2|>5,5
\(\left[ \begin{array}{l}x+\dfrac{11}{2}<5,5\\x+\dfrac{11}{2}>5,5\end{array} \right.\)
\(\left[ \begin{array}{l}x<-11\\x>0\end{array} \right.\)
$\dfrac{2}{5}<|x-\dfrac{7}{5}|<\dfrac{3}{5}$
\(\left[ \begin{array}{l}|x-\dfrac{7}{5}|>\dfrac{2}{5}\\|x-\dfrac{7}{5}|< \dfrac3 5\end{array} \right.\)
\(\left[ \begin{array}{l}\left[ \begin{array}{l}x-\dfrac7 5 <-\dfrac2 5\\x-\dfrac7 5 >\dfrac2 5\end{array} \right.\\\dfrac{-3}{5} <x-\dfrac{7}{5}< \dfrac3 5\end{array} \right.\)
\(\left[ \begin{array}{l}\left[ \begin{array}{l}x<1\\x>\dfrac9 5\end{array} \right.\\\dfrac{4}{5} <x< \dfrac{10} 5\end{array} \right.\)
$-> \dfrac{4}{5}<x<1$
