\[\boxed{\text{118\ (118).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[1)\ 5x < 30\]
\[x < 6\]
\[Ответ:( - \infty;6).\]
\[2) - 4x \leq - 16\]
\[x \geq 4\]
\[Ответ:\lbrack 4;\ + \infty).\]
\[3)\ \frac{2}{3}x \leq 6\]
\[x \leq 9\]
\[Ответ:( - \infty;9\rbrack\text{.\ }\ \]
\[4) - 12x \geq 0\]
\[x \leq 0\]
\[Ответ:( - \infty;0\rbrack.\]
\[5) - 3x < \frac{6}{7}\]
\[x > - \frac{2}{7}\]
\[Ответ:\left( - \frac{2}{7};\ + \infty \right).\]
\[6) - 2\frac{1}{3}x > 1\frac{5}{9}\]
\[- \frac{7}{3}x > \frac{14}{9}\]
\[x < - \frac{2}{3}\]
\[Ответ:\left( - \infty;\ - \frac{2}{3} \right).\]
\[7)\ 4x + 5 > - 7\]
\[4x > - 12\]
\[x > - 3\]
\[Ответ:( - 3;\ + \infty).\]
\[8)\ 9 - x \geq 2x\]
\[9 \geq 3x\]
\[x \leq 3\]
\[Ответ:( - \infty;3\rbrack.\]
\[9)\ 13 - 6x \geq - 23\]
\[36 \geq 6x\]
\[x \leq 6\]
\[Ответ:( - \infty;6\rbrack.\]
\[10)\ 5 - 9x > 16\]
\[5 - 16 > 9x\]
\[- 11 > 9x\]
\[x < - \frac{11}{9}\]
\[Ответ:\left( - \infty; - 1\frac{2}{11} \right).\]
\[11)\ 3x + 2 \leq - 7x\]
\[10x \leq - 2\]
\[x \leq - \frac{1}{5}\]
\[Ответ:( - \infty;\ - 0,2\rbrack.\]
\[12)\ \frac{x - 3}{4} > - 1\ \ | \cdot 4\]
\[x - 3 > - 4\]
\[x > - 1\]
\[Ответ:( - 1;\ + \infty).\]