Question

determinar el minimo numero entero, cuyo triple disminuido en 6 sea mayor que su mitad aumentada en 4.

Answer 1

$3x-6\ \textgreater \ \frac{x}{2} +4 \\ \\ 3x-6\ \textgreater \ \frac{x+8}{2} \\ \\ (2)(3x-6)\ \textgreater \ x+8 \\ \\ 6x-12\ \textgreater \ x+8 \\ \\ 6x-x\ \textgreater \ 8+12 \\ \\ 5x\ \textgreater \ 20 \\ \\ x\ \textgreater \ \frac{20}{5} \\ \\ x\ \textgreater \ 4$