Is it legal to use "Inc." in a business name if the business is NOT a corporation?

Does anyone have any insight into this --or an idea of who/where to ask? It's on my list for my next meeting with my lawyer, but...

The purpose is not to mislead, but to add interest to the name (like the movie "Monsters Inc." for instance...does not say nearly as much as just "Monsters")

Any thoughts?

Any feedback of why this would potentially dissuade you as a customer regardless of legality?