Answer
All real numbers
Work Step by Step
$-3(w-3)\geq9-3w\longrightarrow$ multiply using the distributive property
$-3w+9\geq9-3w\longrightarrow$ add 3w to each side
$-3w+9+3w\geq9-3w+3w\longrightarrow$ add
$9\geq9$
Since 9 is always greater than or equal to 9, the solution is all real numbers.