Question

решите систему неравенств {7х+9<2х-1 {4+11х>9х-14

Answer 1

$begin{cases} & text{ } 7x+9 textless 2x-1 \ & text{ } 4+11x textgreater 9x-14 end{cases}Rightarrowbegin{cases} & text{ } 7x-2x textless -1-9 \ & text{ } 11x-9x textgreater -14-4 end{cases}Rightarrow\ \ Rightarrowbegin{cases} & text{ } 5x textless -10 \ & text{ } 2x textgreater -18 end{cases}Rightarrowbegin{cases} & text{ } x textless -2 \ & text{ } x textgreater -9 end{cases},,,, Rightarrow ,,,boxed{x in (-9;-2)}$