Question

$frac{2x - 5}{ |x - 1| } leqslant 1$

Answer 1

$frac{2x-5}{|x-1|} leq 1 \ left { {{ frac{2x-5}{x-1} leq 1} atop { frac{2x-5}{x-1} geq -1}} right. left { {{ frac{x-4}{x-1} leq 0} atop { frac{3x-6}{x-1} geq 0}} right. left { {{xin(1;4]} atop {xin(-infty;1)cup[2;+infty)}} right. \ \ x in (2;4]$