Question

ПОМОГИТЕ!

{14(x-1) - 19x+31>1-2x
{-3(4x-12)+8x-9≤2x+17

Решите систему неравенств,срочно!!!!
(это всё одна система)

Answer 1

Ответ:

Объяснение:

$\displaystyle\\\left \{ {{14(x-1)-19x+31>1-2x} \atop {-3(4x-12)+8x-9\leq2x+17 }} \right. \\\\\\\left \{ {{14x-14-19x+31>1-2x} \atop {-12x+36+8x-9\leq 2x+17}} \right. \\\\\\\left \{ {{-5x+17>1-2x} \atop {-4x+27\leq 2x+17}} \right. \\\\\\\left \{ {{-2x+5x<17-1} \atop {2x+4x\geq 27-17} \right. \\\\\\\left \{ {{3x<16} \atop {6x\geq 10}} \right.\\\\\\\left \{ {{x<\dfrac{16}{3} } \atop {x\geq \dfrac{5}{3} }} \right.\\\\\\\left \{ {{x<5\dfrac{1}{3} } \atop {x\geq 1\dfrac{2}{3} }} \right.$

О т в е т :   $x\in\left[1\dfrac{2}{3};5\dfrac{1}{3}\right)$