Tensizdikti wewiniz:    |2x-3| меньше 6

|2x-3|<6 [latex]\left \{ {{2x-3\geq0} \atop {2x-3<6}} \right.[/latex]  или [latex]\left \{ {{2x-3<0} \atop {3-2x<6}} \right.[/latex]  [latex]\left \{ {{x\geq\frac{3}{2}} \atop {x<4.5}} \right.[/latex] или  [latex]\left \{ {{x<\frac{3}[2}} \atop {x>-\frac{3}{2}}} \right.[/latex]  [latex]x [\frac{3}{2};4.5)[/latex]  или  [latex]x (-\frac{3}{2};\frac{3}{2})[/latex]  Ответ: [latex]x (-\frac{3}{2};4.5)[/latex]