Решите уравнение |1-2x|=43

Ответ:

\[|1 - 2x| = 43\]

\[1 - 2x = 43\]

\[- 2x = 42\]

\[x = - 21\]

\[1 - 2x = - 43\]

\[- 2x = - 44\]

\[x = 22\]

\[Ответ:\ \ x = - 21\ и\ \ x = 22.\]

\[\ |2x - 7| \leq 2\]

\[\left\{ \begin{matrix} 2x - 7 \leq 2\ \ \ \\ 2x - 7 \geq - 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix} 2x \leq 9 \\ 2x \geq 5 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\left\{ \begin{matrix} x \leq 4,5 \\ x \geq 2,5 \\ \end{matrix} \right.\ \]

\[Ответ:x \in \lbrack 2,5;4,5\rbrack\text{.\ \ }\]