Answer
The solution is $w\lt \frac{3}{2}$.
Work Step by Step
The given inequality is
$\Rightarrow 4(3-w)\gt 3(4w-4)$
Use distributive property.
$\Rightarrow 12-4w\gt 12w-12$
Add $4w+12$ to each side.
$\Rightarrow 12-4w+4w+12\gt 12w-12+4w+12$
Simplify.
$\Rightarrow 24\gt 16w$
Divide each side by $16$.
$\Rightarrow \frac{24}{16}\gt \frac{16w}{16}$
Simplify.
$\Rightarrow \frac{3}{2}\gt w$
Hence, the solution is $w\lt \frac{3}{2}$.
