Question

03^ ((x^2-x-12)/x) => 1

Answer 1

$\displaystyle\bf\\0,3^{\dfrac{x^{2}-x-12 }{x} } \geq 1\\\\\\0,3^{\dfrac{x^{2}-x-12 }{x} } \geq 0,3^{0} \\\\\\0 < 0,3 < 1 \ \ \ \Rightarrow \ \ \ \frac{x^{2}-x-12 }{x} \leq 0\\\\\\\frac{(x+3)(x-4)}{x} \leq 0 \ \ , \ \ x\neq 0$

$\displaystyle\bf\\- - - - - [-3] + + + + + (0) - - - - - [4] + + + + +$

//////////////////                         //////////////////

$\displaystyle\bf\\Otvet \ : \ \Big(-\infty \ ; \ -3\Big] \ \cup \ \Big(0 \ ; \ 4\Big]$