Помогите пожалуйста log 1/2(3-2x) больше -1

[latex]log_{ \frac{1}{2} }(3-2x)\ \textgreater \ -1[/latex] ОДЗ: [latex]3-2x\ \textgreater \ 0[/latex] [latex]-2x\ \textgreater \ -3[/latex] [latex]x\ \textless \ 1.5[/latex] [latex]log_{ \frac{1}{2} }(3-2x)\ \textgreater \ log_{ \frac{1}{2} }( \frac{1}{2})^{-1} [/latex] [latex]3-2x\ \textless \ ( \frac{1}{2})^{-1} [/latex] [latex]3-2x\ \textless \ 2[/latex] [latex]-2x\ \textless \ 2-3[/latex] [latex]-2x\ \textless \ -1[/latex] [latex]x\ \textgreater \ 0.5[/latex]               /////////////////////////////////////// ------(0.5)--------------(1.5)----------------  ////////////////////////////////    Ответ: (0.5; 1.5)