Tensizdikti wewiniz: |2x-3|<6

|2x-3|<6</p>

$\left \{ {{2x-3\geq0} \atop {2x-3<6}} \right.$

или

$\left \{ {{2x-3<0} \atop {3-2x<6}} \right.$

$\left \{ {{x\geq\frac{3}{2}} \atop {x<4.5}} \right.$

или

-\frac{3}{2}}} \right." alt="\left \{ {{x<\frac{3}[2}} \atop {x>-\frac{3}{2}}} \right." align="absmiddle" class="latex-formula">

$x [\frac{3}{2};4.5)$

или

$x (-\frac{3}{2};\frac{3}{2})$

Ответ: $x (-\frac{3}{2};4.5)$