| 5 x − 2 | − 3 < 0 | 5 x − 2 | < 3 − 3 < | 5 x − 2 | < 3 − 3 < 5 x − 2 5 x > − 1 x > − 1 5 5 x − 2 < 3 / + 2 5 x < 5 / : 5 x < 1 − 1 5 < x < 1 {\displaystyle {\begin{aligned}&|5x-2|-3{\color {green}<}0\\&|5x-2|<3\\&-3<|5x-2|<3\\&\color {blue}-3<5x-2\\&\color {blue}5x>-1\\&\color {blue}x>{\frac {-1}{5}}\\&\color {red}5x-2<3/+2\\&\color {red}5x<5/:5\\&\color {red}x<1\\&\color {Violet}-{\frac {1}{5}}<x<1\\\end{aligned}}}
