| 3 x | − 6 < 0 | 3 x | < 6 − 6 < | 3 x | < 6 − 6 < 3 x / : 3 x > − 2 3 x < 6 x < 2 − 2 < x < 2 {\displaystyle {\begin{aligned}&|3x|-6<0\\&|3x|<6\\&-6<|3x|<6\\&\color {blue}-6<3x/:3\\&\color {blue}x>-2\\&\color {red}3x<6\\&\color {red}x<2\\&\color {Violet}-2<x<2\\\end{aligned}}}