Question

решите неравенство |1-2x|<5

Answer 1

$|1-2x|\ \textless \ 5$

$\left \{ {{ 1-2x \ \ \textless \ \ 5} \atop { 1-2x \ \ \textgreater \ -5}} \right. \Rightarrow \left \{ {{ -2x \ \ \textless \ \ 4} \atop { -2x \ \ \textgreater \ \ -6}} \right. \Rightarrow \left \{ {{ x \ \textgreater \ -2} \atop { x \ \textless \ 3}} \right.$

Ответ: 
$-2 \ \textless \ x \ \textless \ 3$