Question

решите систему неравенств и укажите наибольшее целое решение​

Answer 1

$1)\left \{ {{2x+3>3x+6} \atop {5x+1\geq8x+19 }} \right.\\\\\left \{ {{2x-3x>6-3} \atop {5x-8x\geq19-1 }} \right.\\\\\left \{ {{-x>3} \atop {-3x\geq18 }} \right. \\\\\left \{ {{x<-3} \atop {x\leq6 }} \right.\\\\x\in(-\infty;-3)\\\\Otvet:\boxed{-4}\\\\\\2)\left \{ {{x-1>2x-3} \atop {4x+5}>x-17} \right.\\\\\left \{ {{x-2x>-3+1} \atop {4x-x>-17-5}} \right.\\\\\left \{ {{-x>-2} \atop {3x>-22}} \right. \\\\\left \{ {{x<2} \atop {x>-7\frac{1}{3} }} \right.\\\\x\in(-7\frac{1}{3};2)$

$Otvet:\boxed{1}$