[latex] \frac{3x-2}{|x-1|+|x-4|} \geq 2[/latex]

[latex]\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 [/latex]   [8/3 ; 8]