Question

$frac{3x-2}{|x-1|+|x-4|} geq 2$

Answer 1

$frac{3x-2}{|x-1|+|x-4|} geq 2\ 1)left { {{|x-1| geq 0} atop {x geq 1}} right. \ frac{3x-2}{x-1-x+4} geq 2\ 3x-2>=6\ x geq frac{8}{3}\ udovletvoryaet!\ 2) left { {{|x-4| geq 0} atop {x geq 4}} right. \ frac{3x-2}{2x-5} geq 2\ 3x-2 geq 4x-10\ x leq 8\ i togo\ Otvet interval \ frac{8}{3};8$
  [8/3 ; 8]