What are detention and correctional facilities? how are they different?

Detention facilities are imprisonment of someone guilty or suspected of a crime the persons there just to "pay the time for their crime". While Correctional facilities are what their name suggests facilities intent on correcting the behavior or person. 

The way this small state - large state compromise guards against tyranny is that small states and large states have one note: i am sorry but i was not able to give you the full answer. but i got this answer from