2 x − 4 | x − 5 | < 1 2 x − 4 < 1 | x − 5 | {\displaystyle {\begin{aligned}&{\frac {2x-4}{|x-5|}}<1\\&2x-4<1|x-5|\\\end{aligned}}}
1 | x − 5 | < − 2 x + 4 x − 5 < − 2 x + 4 3 x < 9 x < 3 {\displaystyle {\begin{aligned}&1|x-5|<-2x+4\\&x-5<-2x+4\\&3x<9\\&x<3\\\end{aligned}}}
x < 3 {\displaystyle {\begin{aligned}x<3\end{aligned}}}