Question

Розв'яжіть систему нерівностей
2(х-1)-3<5(2х-1)-7х
{
3(х+1)-2знакменшерівне6(1-х)+7

Answer 1

$\displaystyle\bf\\\left \{ {{2(x-1)-3 < 5(2x-1)-7x} \atop {3(x+1)-2\leq 6(1-x)+7}} \right.\\\\\\\left \{ {{2x-2-3 < 10x-5-7x} \atop {3x+3-2\leq 6-6x+7}} \right. \\\\\\\left \{ {{2x-5 < 3x-5} \atop {3x+1\leq -6x+13}} \right. \\\\\\\left \{ {{2x-3x < -5+5} \atop {3x+6x\leq 13-1}} \right. \\\\\\\left \{ {{-x < 0} \atop {9x\leq 12}} \right. \\\\\\\left \{ {{x > 0} \atop {x\leq 1\dfrac{1}{3} }} \right. \\\\\\Otvet \ : \ x\in \ \Big(0 \ ; \ 1\frac{1}{3} \Big]$