Решите неравенство |2-6x|<=4

Ответ:

\[\ |2 - 6x| \leq 4\]

\[\left\{ \begin{matrix} 2 - 6x \leq 4\ \ \ \\ 2 - 6x \geq - 4 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\left\{ \begin{matrix} - 6x \leq 2\ \ \ \ \\ - 6x \geq - 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} x \geq - \frac{1}{3} \\ x \leq 1\ \ \ \\ \end{matrix} \right.\ \]

\[Ответ:x \in \left\lbrack - \frac{1}{3};1 \right\rbrack\text{.\ \ }\]

\[\frac{1}{8}x < 4\]

\[x < 32.\]