Решите неравенство 1080 в книге. (2, 4, 6) |1-2x| < 5 |4 + 3x| > 2 |4x + 3| > 5 Решите...

Решите задачу:

$1)\; \; |1-2x|\ \textless \ 5\; \; \; \Leftrightarrow \; \; \; -5\ \textless \ 1-2x\ \textless \ 5\\\\-6\ \textless \ -2x\ \textless \ 4\; \; ,\; \; -2\ \textless \ x\ \textless \ 3\\\\x\in (-2,3)\\\\2)\; \; |4+3x|\ \textgreater \ 2\; \; \; \Leftrightarrow \; \; \left [ {{4+3x\ \textgreater \ 2} \atop {4+3x\ \textless \ -2}} \right. \; ,\; \; \left [ {{3x\ \textgreater \ -2} \atop {3x\ \textless \ -6}} \right. \; ,\; \left [ {{x\ \textgreater \ -\frac{2}{3}} \atop {x\ \textless \ -2}} \right. \\\\x\in (-\infty ,-2)\cup (-\frac{2}{3},+\infty)\\\\3)\; \; |4+3x|\ \textgreater \ 5\; \; \; \Leftrightarrow \; \; \; \left [ {{4+3x\ \textgreater \ 5} \atop {4+3x\ \textless \ -5}} \right. \; ,\left [ {{x\ \textgreater \ \frac{1}{3}} \atop {x\ \textless \ -3}} \right. \\\\x\in (-\infty ,-3)\cup (\frac{1}{3},+\infty )$