Respuesta:
C.S. = (-4/5, 3]
Explicación paso a paso:
[tex]12\ge 5x-3>-7 \\\\ \mathsf{Separamos} \\\\ 12\ge 5x-3\quad \mathsf{\&}\quad \:5x-3>-7 \\\\\\ 5x - 3 \leq 12 \\\\ 5x\leq 15 \\\\ x\leq 15/5 \\\\ x \leq 3_{//} \\\\\\ 5x-3>-7 \\\\ 5x>-4 \\\\ x>-\frac{4}{5} _{//} \\\\\\ \mathsf{Combinar \: los \: rangos} \\\\ x\le \:3\quad \mathrm{\&}\quad \:x>-\frac{4}{5} \\\\ \mathsf{Mezclar\:intervalos\: sobrepuestos} \\\\ -\frac{4}{5}<x\le 3_{//} \\\\\\ \boxed{C.S. = (-\frac{4}{5},3]}[/tex]
