Question

3(2x+2)> 2 0,5(5+3x)>2x решите систему линейных неравинств

Answer 1

$\displaystyle\begin{cases}3(2x+2)>2\\0,5(5+3x)>2x\end{cases}\to\begin{cases}6x+6>2\\2.5+1.5x>2x\end{cases}\to\begin{cases}6x>-4\\0.5x<2.5\end{cases}\to\\\to\begin{cases}x>-\frac{2}{3}\\x<5\end{cases}\to x\in(-\frac{2}{3};5)$