| 2 x − 1 | < 5 − x − ( 5 − x ) < 2 x − 1 < 5 − x − 5 + x < 2 x − 1 − 4 < x 2 x − 1 < 5 − x 3 x < 6 x < 2 − 4 < x < 2 {\displaystyle {\begin{aligned}&|2x-1|<5-x\\&-(5-x)<2x-1<5-x\\&\color {blue}-5+x<2x-1\\&\color {blue}-4<x\\&\color {red}2x-1<5-x\\&\color {red}3x<6\\&\color {red}x<2\\&\color {Purple}-4<x<2\\\end{aligned}}}
