Question

Срочно, подробно и корректно.

Answer 1

Ответ:

$6)\ \ (\sqrt2+\sqrt7)\cdot x>\dfrac{5}{\sqrt2-\sqrt7}\\\\\\(\sqrt2-\sqrt7)<0\ \ \ \Rightarrow \ \ \ (\sqrt2-\sqrt7)(\sqrt2+\sqrt7)\cdot x<5\ \ ,\\\\(2-7)\cdot x<5\ \ ,\ \ \ -5\cdot x<5\ \ ,\ \ \ x>-1\\\\\boxed{\ x\in (-1\, ;+\infty \, )\ }$

$7)\ \ \left\{\begin{array}{l}(x-6)(x+5)\leq 0\\x>0\\|x|\leq 5\end{array}\right\ \ \left\{\begin{array}{l}(x-6)(x+5)\leq 0\\x>0\\-5\leq x\leq 5\end{array}\right\\\\\\ \left\{\begin{array}{l}(x-6)(x+5)\leq 0\\0\leq x\leq 5\end{array}\right\ \ \left\{\begin{array}{l}x\in [-5\, ;\, 6\ ]\\0\leq x\leq 5\end{array}\right\ \ \ \ \ \ \ \boxed{\ x\in [\ 0\ ;\ 5\ ]\ }$