Question

розвʼяжіть систему нерівностей
розвяжите систему неровностейэ

Answer 1

$\displaystyle\bf\\\left \{ {{5(2x-1)+3 > 2(2x-1)+7x} \atop {6(1-x)+2\geq 3(x+1)-7x}} \right. \\\\\\\left \{ {{10x-5+3 > 4x-2+7x} \atop {6-6x+2\geq 3x+3-7x}} \right.\\\\\\\left \{ {{10x-4x-7x > 5-3-2} \atop {-6x-3x+7x\geq 3-6-2}} \right. \\\\\\\left \{ {{-x > 0} \atop {-2x\geq -5}} \right. \ \ \Rightarrow \ \ \left \{ {{x < 0} \atop {x\leq 2,5}} \right. \ \ \Rightarrow \ \ \ \boxed{x < 0 }$