|x−3|>9x−3>9;x−3<9x>12x<−6x>12;x<−6{\displaystyle {\begin{aligned}&|x-3|>9\\&{\color {blue}x-3>9};{\color {red}x-3<9}\\&\color {blue}x>12\\&\color {red}x<-6\\&\color {Violet}x>12;x<-6\\\end{aligned}}}