| 5 x − 6 | > 4 5 x − 6 > 4 ; 5 x − 6 < − 4 5 x − 6 > 4 5 x > 10 x > 2 5 x − 6 < − 4 5 x < 2 x < 2 5 x > 2 ; x < 2 5 {\displaystyle {\begin{aligned}&|5x-6|>4\\&5x-6>4;5x-6<-4\\&\color {blue}5x-6>4\\&\color {blue}5x>10\\&\color {blue}x>2\\&\color {red}5x-6<-4\\&\color {red}5x<2\\&\color {red}x<{\frac {2}{5}}\\&\color {Violet}x>2;x<{\frac {2}{5}}\\\end{aligned}}}