| 7 − 3 x | > 1 7 x − 3 > 1 ; 7 − 3 x < − 1 7 − 3 x > 1 − 3 x > − 6 x < 2 7 − 3 x < − 1 − 3 x < − 8 x > 2 2 3 x < 2 ; x > 2 2 3 {\displaystyle {\begin{aligned}&|7-3x|>1\\&7x-3>1;7-3x<-1\\&\color {blue}7-3x>1\\&\color {blue}-3x>-6\\&\color {blue}x<2\\&\color {red}7-3x<-1\\&\color {red}-3x<-8\\&\color {red}x>2{\frac {2}{3}}\\&\color {Violet}x<2;x>2{\frac {2}{3}}\\\end{aligned}}}