Решебник по алгебре 9 класс Мерзляк Задание 118

\[\boxed{\text{118\ (118).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

Пояснение.

Решение.

\[1)\ 5x < 30\]

\[x < 6\]

\[Ответ:( - \infty;6).\]

\[2) - 4x \leq - 16\]

\[x \geq 4\]

\[Ответ:\lbrack 4;\ + \infty).\]

\[3)\ \frac{2}{3}x \leq 6\]

\[x \leq 9\]

\[Ответ:( - \infty;9\rbrack\text{.\ }\ \]

\[4) - 12x \geq 0\]

\[x \leq 0\]

\[Ответ:( - \infty;0\rbrack.\]

\[5) - 3x < \frac{6}{7}\]

\[x > - \frac{2}{7}\]

\[Ответ:\left( - \frac{2}{7};\ + \infty \right).\]

\[6) - 2\frac{1}{3}x > 1\frac{5}{9}\]

\[- \frac{7}{3}x > \frac{14}{9}\]

\[x < - \frac{2}{3}\]

\[Ответ:\left( - \infty;\ - \frac{2}{3} \right).\]

\[7)\ 4x + 5 > - 7\]

\[4x > - 12\]

\[x > - 3\]

\[Ответ:( - 3;\ + \infty).\]

\[8)\ 9 - x \geq 2x\]

\[9 \geq 3x\]

\[x \leq 3\]

\[Ответ:( - \infty;3\rbrack.\]

\[9)\ 13 - 6x \geq - 23\]

\[36 \geq 6x\]

\[x \leq 6\]

\[Ответ:( - \infty;6\rbrack.\]

\[10)\ 5 - 9x > 16\]

\[5 - 16 > 9x\]

\[- 11 > 9x\]

\[x < - \frac{11}{9}\]

\[Ответ:\left( - \infty; - 1\frac{2}{11} \right).\]

\[11)\ 3x + 2 \leq - 7x\]

\[10x \leq - 2\]

\[x \leq - \frac{1}{5}\]

\[Ответ:( - \infty;\ - 0,2\rbrack.\]

\[12)\ \frac{x - 3}{4} > - 1\ \ | \cdot 4\]

\[x - 3 > - 4\]

\[x > - 1\]

\[Ответ:( - 1;\ + \infty).\]