Question

Решите систему неравенств и найдите её целые решения:
{2х-17≥3(1-х)
{5+х/2>х

Answer 1

$left { {{2x-17 geq 3(1-x)} atop {5+ frac{x}{2} textgreater x}} right.$
$left { {{2x-17 geq 3-3x} atop {2*5+2* frac{x}{2} textgreater 2x}} right.$
$left { {{2x+3x geq 3+17} atop {10+x textgreater 2x}} right.$
$left { {{5x geq 20} atop {x-2x textgreater -10}} right.$
$left { {{x geq 4} atop {-x textgreater -10}} right.$
$left { {{x geq 4} atop {x textless 10}} right.$
x∈[4, 10)