| 2 x − 4 | > x + 1 2 x − 4 > x + 1 ; 2 x − 4 < − x − 1 2 x − 4 > x + 1 x > 5 2 x − 4 < − x − 1 3 x < 3 x < 1 x > 5 ; x < 1 {\displaystyle {\begin{aligned}&|2x-4|>x+1\\&2x-4>x+1;2x-4<-x-1\\&\color {blue}2x-4>x+1\\&\color {blue}x>5\\&\color {red}2x-4<-x-1\\&\color {red}3x<3\\&\color {red}x<1\\&\color {Purple}x>5;x<1\\\end{aligned}}}
