[tex]\displaystyle\bf\\\left \{ {{14(x-1)-19x+31 > 1-2x} \atop {-3(4x-12)+8x-9\leq 2x+17}} \right. \\\\\\\left \{ {{14x-14-19x+31 > 1-2x} \atop {-12x+36+8x-9\leq 2x+17}} \right. \\\\\\\left \{ {{-5x+2x > 1-17} \atop {-4x-2x\leq 17-27}} \right. \\\\\\\left \{ {{-3x > -16} \atop {-6x\leq -10}} \right. \\\\\\\left \{ {{x < 5\dfrac{1}{3} } \atop {x\geq 1\dfrac{2}{3} }} \right. \\\\\\Otvet \ : \ x\in \ \Bigg[1\frac{2}{3} \ ; \ 5\frac{1}{3} \Bigg)[/tex]