Final answer:
The loop-prevention mechanism that stops a route from being advertised out of the interface it was learned from is split horizon.
Step-by-step explanation:
The loop-prevention mechanism that will prevent a route from being advertised out an interface from which it was learned is a) Split horizon. Split horizon is a technique used in networking to prevent routing loops. It operates on the principle that it is never useful to send information about a route back in the direction from which the original packet came. This mechanism helps to minimize the possibility of forming routing loops.