| 8 − x | < 9 − 9 < 8 − x < 9 − 9 < 8 − x x < 17 8 − x < 9 / − 8 x > − 1 − 1 < x < 17 {\displaystyle {\begin{aligned}&|8-x|<9\\&-9<8-x<9\\&\color {blue}-9<8-x\\&\color {blue}x<17\\&\color {red}8-x<9/-8\\&\color {red}x>-1\\&\color {Violet}-1<x<17\\\end{aligned}}}