Помогите с решением |2-4х|<7

$| 2-4x|\ \textless \ 7$

$\left \{ {{2-4x\ \textless \ 7} \atop {2-4x\ \textgreater \ -7}} \right.$

$\left \{ {{-4x\ \textless \ 7-2} \atop {-4x\ \textgreater \ -7-2}} \right.$

$\left \{ {{-4x\ \textless \ 5} \atop {-4x\ \textgreater \ -9}} \right.$

$\left \{ {{x\ \textgreater \ -1.25} \atop {x\ \textless \ 2.25}} \right.$

Ответ: $(-1.25;2.25)$

$|f(x)|\ \textless \ a$ ⇔ $\left \{ {{f(x)\ \textless \ a} \atop {f(x)\ \textgreater \ -a}} \right.$