1. We are asked to solve the inequality $9 \geq -2m + 2 - 3$ and find the solution set. 2. First, simplify the right side: $$9 \geq -2m + (2 - 3)$$ $$9 \geq -2m - 1$$ 3. Add 1 to both sides to isolate the term with $m$: $$9 + 1 \geq -2m$$ $$10 \geq -2m$$ 4. Divide both sides by $-2$. Remember, dividing by a negative number reverses the inequality sign: $$\frac{10}{-2} \leq m$$ $$-5 \leq m$$ 5. This means $m$ is greater than or equal to $-5$. 6. The solution set is all $m$ such that $m \geq -5$. Final answer: $$m \geq -5$$