non-exclusive (adj.)

a prefix used freely in English and meaning "not, lack of," or "sham," giving a negative sense to any word, 14c., from Anglo-French noun-, from Old French non-, from Latin non "not, by no means, not at all, not a," from Old Latin noenum "not one" (*ne oinom, from PIE root *ne- "not" + PIE root *oi-no- "one, unique"). In some cases perhaps from Middle English non "not" (adj.), from Old English nan (see not). "It differs from un- in that it denotes mere negation or absence of the thing or quality, while un- often denotes the opposite of the thing or quality" [Century Dictionary].

mid-15c., "so as to exclude;" 1560s, "that excludes," from Medieval Latin exclusivus, from exclus-, past participle stem of excludere (see exclude). Of monopolies, rights, franchises, etc., from 1760s; of social circles, clubs, etc., "unwilling to admit outsiders," from 1822. Related: Exclusively; exclusiveness.