Answer
All real numbers are solutions.
Work Step by Step
The given inequality is
$\Rightarrow 3w-5\gt 2w+w-7$
Add like terms.
$\Rightarrow 3w-5\gt 3w-7$
Add $7$ to each side.
$\Rightarrow 3w-5+7\gt 3w-7+7$
Simplify.
$\Rightarrow 3w+2\gt 3w$
Subtract $3w$ from each side.
$\Rightarrow 3w+2-3w\gt 3w-3w$
Simplify.
$\Rightarrow 2\gt 0$
The inequality is true.
Hence, all real numbers are solutions.
