Math test

9 is equal to or is greater then -2m + 2 - 3

$9\ge -2m + 2 - 3\\ 9\ge -2m -1\\ 10\ge -2m \\ 10\ge -2m \\ -2m\le10 \qquad \text{I turned the sign around because I swapped sides}\\ m\ge-5 \qquad \text{I turned the sign around because I multilplied both sides by a negative number}\\$