Question

розвяжіть систеиу нерівностей будьласка поможіть​

Answer 1

$\displaystyle\bf\\\left \{ {{10x-1 > 3(x-9)-2} \atop {\dfrac{3x+1}{2} \geq \dfrac{12x-5}{7} -2}} \right. \\\\\\\left \{ {{10x-1 > 3x-27-2} \atop {\dfrac{3x+1}{2}\cdot 14 \geq \dfrac{12x-5}{7}\cdot 14 -2\cdot 14}} \right. \\\\\\\left \{ {{10x-1 > 3x-29} \atop {(3x+1)\cdot 7\geq (12x-5)\cdot 2-28}} \right. \\\\\\\left \{ {{10x-3x > 1-29} \atop {21x+7\geq 24x-10-28}} \right. \\\\\\\left \{ {{7x > -28} \atop {21x-24x\geq -38-7}} \right. \\\\\\\left \{ {{x > -4} \atop {-3x\geq -45}} \right.$

$\displaystyle\bf\\\left \{ {{x > -4} \atop {x\leq 15}} \right. \\\\\\Otvet \ : \ x\in\Big(-4 \ ; \ 15\Big]$