Помогите с решением |2-4х| меньше 7

[latex]| 2-4x|\ \textless \ 7 [/latex] [latex] \left \{ {{2-4x\ \textless \ 7} \atop {2-4x\ \textgreater \ -7}} \right. [/latex] [latex] \left \{ {{-4x\ \textless \ 7-2} \atop {-4x\ \textgreater \ -7-2}} \right. [/latex] [latex] \left \{ {{-4x\ \textless \ 5} \atop {-4x\ \textgreater \ -9}} \right. [/latex] [latex]\left \{ {{x\ \textgreater \ -1.25} \atop {x\ \textless \ 2.25}} \right. [/latex] Ответ: [latex](-1.25;2.25)[/latex] [latex]|f(x)|\ \textless \ a[/latex]  ⇔ [latex] \left \{ {{f(x)\ \textless \ a} \atop {f(x)\ \textgreater \ -a}} \right. [/latex]