Question

Dau coroană!!! Urgent vă rog frumos!!!!​

Answer 1

$\it -6(2x-3)+2(7-10x) > 0 \Rightarrow -12x+18+14-20x > 0 \Rightarrow \\ \\ \Rightarrow 32-32x > 0\bigg|_{:32} \Rightarrow 1-x > 0 \Rightarrow 1 > x \Rightarrow x < 1 \Rightarrow x\in(-\infty,\ 1)\ \ \ \ \ \ (1)\\ \\ \\ 2x-6 < 12+5x \Rightarrow -6-12 < 5x-2x \Rightarrow -18 < 3x\bigg|_{:3} -6 < x \Rightarrow \\ \\ \\ \Rightarrow x > -6 \Rightarrow x\in(-6,\ \ \infty)\ \ \ \ \ \ (2)$

$\it (1),\ (2) \Rightarrow S=(-\infty,\ 1)\cap(-6,\ \infty)=(-6,\ \ 1)$