ГДЗ по алгебре 9 класс Макарычев Задание 481

\[\boxed{\text{481\ (481).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[\textbf{а)}\ x^{2} - 6x < 0\ \ \]

\[x(x - 6) < 0\]

\[x \in (0;6).\]

\[\textbf{б)}\ 8x + x^{2} \geq 0\]

\[x(8 + x) \geq 0\]

\[x \in ( - \infty; - 8\rbrack \cup \lbrack 0; + \infty).\]

\[\textbf{в)}\ x^{2} \leq 4\]

\[x^{2} - 4 \leq 0\ \ \]

\[(x + 2)(x - 2) \leq 0\ \]

\[x \in \lbrack - 2;2\rbrack.\]

\[\textbf{г)}\ x^{2} > 6\ \]

\[x^{2} - 6 > 0\]

\[\left( x + \sqrt{6} \right)\left( x - \sqrt{6} \right) > 0,\]

\[\ x \in \left( - \infty;\ - \sqrt{6} \right\rbrack \cup \left\lbrack \sqrt{6}; + \infty \right).\]