Question

Aflati toate solutiile intregi ale sistemului de inecuatii
{3x-2<7
{4-2x<=3x+14

Answer 1

Răspuns:

x∈{-2;-1;...2}

Explicație pas cu pas:

vezi atasament

Answer 2

$\it \begin{cases}\it 3x-2<7|_{+2} \Rightarrow 3x<9|_{:3} \Rightarrow x<3\ \ \ \ \ (1)\\ \\ \it 4-2x\leq3x+14 \Rightarrow 4-14\leq3x+2x \Rightarrow -10\leq5x|_{:5} \Rightarrow x\geq-2\ \ \ \ (2)\end{cases} \\ \\ \\ (1),\ (2)\stackrel{x\in\mathbb{Z}}{\Longrightarrow}\ S=\{-2,\ -1,\ 0,\ 1,\ 2\}$