Решите уравнение |7-3x|=11

Ответ:

\[\ |7 - 3x| = 11\]

\[7 - 3x = 11\ \ \ \ \ \ \ \ \ \ 7 - 3x = - 11\]

\[- 3x = 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ - 3x = - 18\]

\[x = - 1\frac{1}{3}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 6\]

\[Ответ:\ \ \ x = - 1\frac{1}{3}\ \ и\ \ x = 6.\]

\[\ |1 + 5x| \leq 4\]

\[\left\{ \begin{matrix} 1 + 5x \leq 4\ \ \ \\ 1 + 5x \geq - 4 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\left\{ \begin{matrix} 5x \leq 3\ \ \ \\ 5x \geq - 5 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix} x \leq 0,6 \\ x \geq - 1 \\ \end{matrix} \right.\ \]

\[Ответ:\ \ \ x \in \lbrack - 1;0,6\rbrack.\]