Question

Розв'яжіть систему нерівностей

Answer 1

$\displaystyle\bf\\1)\\\\\left \{ {{2(x+3)-(x-8) < 4} \atop {6x > 3(x+1)-1}} \right. \\\\\\\left \{ {{2x+6-x+8 < 4} \atop {6x > 3x+3-1}} \right. \\\\\\\left \{ {{x+14 < 4} \atop {6x > 3x+2}} \right. \\\\\\\left \{ {{x < 4-14} \atop {6x-3x > 2}} \right. \\\\\\\left \{ {{x < -10} \atop {3x > 2}} \right. \\\\\\\left \{ {{x < -10} \atop {x > \dfrac{2}{3 }} \right. \\\\\\Otvet \ : \ x\in\oslash$

Решений нет

$\displaystyle\bf\\2)\\\\\left \{ {{15(y+2)-13y\geq 2y-15} \atop {\dfrac{y-3}{5} > \dfrac{y+5}{3} }} \right. \\\\\\\left \{ {{15y+30-13y\geq 2y-15} \atop {\dfrac{y-3}{5} \cdot 15 > \dfrac{y+5}{3} \cdot 15}} \right. \\\\\\\left \{ {{2y+30\geq 2y-15} \atop {(y-3)\cdot3 > (y+5)\cdot 5}} \right.\\\\\\\left \{ {{2y-2y\geq -15-30} \atop {3y-9 > 5y+25}} \right. \\\\\\\left \{ {{0\cdot y\geq -45} \atop {3y-5y > 25+9}} \right. \\\\\\\left \{ {{y\in R} \atop {-2y > 34}} \right.$

$\displaystyle\bf\\\left \{ {{y\in R} \atop {y < -17}} \right. \\\\\\Otvet \ : \ y\in\Big(-\infty \ ; \ -17\Big)$