\(1<|x-4|<4 \Leftrightarrow 1<(x-4)^2<16 \\ \Leftrightarrow 1<x^2-8x+16<16 \\ \Leftrightarrow \left\{\begin{matrix}
x^2-8x+16>1\\
x^2-8x+16<16
\end{matrix}\right.
\\ \Leftrightarrow
\left\{\begin{matrix}
x<3,x>5\\
0<x<8
\end{matrix}\right. \\ \Leftrightarrow 0<x<3;5<x<8\)
KL: .............................
tuyen23052014600 
phamngoctienpy1987844 
manhlecong680419 