−x+3≤−3and

−x+3>−8

First, we will solve the inequality -x + 3 ≤ -3:

-x + 3 ≤ -3
-x ≤ -6
x ≥ 6

Next, we will solve the inequality -x + 3 > -8:

-x + 3 > -8
-x > -11
x < 11

Therefore, the solution to the system of inequalities is 6 ≤ x < 11.