Question

Помогите решить домашнее задание ​

Answer 1

$\displaystyle \left \{ {{x-1\leq2x+2} \atop {3x+5\leq x+1}} \right.~\Rightarrow~\left \{ {{x-2x\leq 2+1} \atop {3x-x\leq 1-5}} \right.~\Rightarrow~\left \{ {{-x\leq 3} \atop {2x\leq-4}} \right.~\Rightarrow~\left \{ {{x\geq -3} \atop {x\leq -2}} \right.$

Ответ: $x \in [-3;-2]$

$\displaystyle \left \{ {{3-x<x+2} \atop {3x-1>1-2x}} \right.~\Rightarrow~\left \{ {{-x-x<2-3} \atop {3x+2x>1+1}} \right.~\Rightarrow~\left \{ {{-2x<-1} \atop {5x>2}} \right.~\Rightarrow~\left \{ {{x>\frac{1}{2}} \atop {x>\frac{2}{5}}} \right.$

Ответ: $x \in (\frac{1}{2};+\infty).$