\[\boxed{\text{269.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\textbf{а)}\ 0,01x² \leq 1\]
\[x^{2} \leq 100\]
\[x^{2} - 100 \leq 0\]
\[(x - 1)(x + 10) \leq 0\]
\[x \in \lbrack - 10;10\rbrack.\]
\[\textbf{б)}\frac{1}{2}x² > 12\]
\[x² > 24\ \]
\[x² - 24 > 0\]
\[\left( x - 2\sqrt{6} \right)\left( x + 2\sqrt{6} \right) > 0\]
\[x \in \left( - \infty;\ - 2\sqrt{6} \right) \cup \left( 2\sqrt{6}; + \infty \right).\]
\[\textbf{в)}\ 4 \leq - x²\]
\[x^{2} + 4x \leq 0\]
\[x(x + 4) \leq 0\]
\[x \in \lbrack - 4;0\rbrack.\]
\[\textbf{г)}\frac{1}{3}x² > \frac{1}{9}\]
\[x^{2} > \frac{1}{3}\]
\[x^{2} - \frac{1}{3} > 0\]
\[\left( x - \sqrt{\frac{1}{3}} \right)\left( x + \sqrt{\frac{1}{3}} \right) > 0\]
\[x \in \left( - \infty;\ - \frac{\sqrt{3}}{3} \right) \cup \left( \frac{\sqrt{3}}{3}; + \infty \right).\]
\[\textbf{д)}\ 5x² > 2x\]
\[5x^{2} - 2x > 0\]
\[x(5x - 2) > 0\]
\[x \in ( - \infty;0) \cup (0,4; + \infty).\]
\[\textbf{е)} - 0,3x < 0,6x²\]
\[0,6x^{2} + 0,3x > 0\]
\[0,3x(2x + 1) > 0\]
\[x \in ( - \infty;\ - 0,5) \cup (0; + \infty).\]