|2x-3| меньше 6 ??????????????

[latex]|x|\ \textless \ a\; \; \Leftrightarrow \; \; \; \; -a\ \textless \ x\ \textless \ a\; \; \; ili\; \; \; \left \{ {{x\ \textless \ a} \atop {x\ \textgreater \ -a}} \right. \\\\\\|2x-3|\ \textless \ 6\; \; \; \Leftrightarrow\; \; \; \left \{ {{2x-3\ \textless \ 6} \atop {2x-3\ \textgreater \ -6}} \right. \; \left \{ {{2x\ \textless \ 9} \atop {2x\ \textgreater \ -3}} \right. \; \left \{ {{x\ \textless \ 4,5} \atop {x\ \textgreater \ -1,5}} \right. \\\\-1,5\ \textless \ x\ \textless \ 4,5\; \; \; ili\; \; \; x\in (-1,5\; ;\; 4,5)\\\\--[/latex]