INTERDEPENDENT implies mutual dependence between two people, countries, etc. A book on INTERDEPENDENT America argues that the United States depends upon her neighbors and her neighbors depend upon her.
INTERCOLLEGIATE sports are held between different colleges, but INTRAMURAL sports are held within the walls of one college.
If you INTERFERE in another man's affairs, you strike between him and what he is doing.
If you INTERJECT a remark, you throw your words among those of another speaker.
An INTERLUDE is really an INTERVAL between the acts of a play.
An INTROSPECTIVE person habitually looks within himself rather than outward.
An INTROVERT is the contrary of an extrovert; the former turns his thought inward on himself, the latter outward upon others.
Also: interbreed, intermarry, interlock, intermingle, international, internal, introduce, intrude.