Widely applicable (7)
(Other definitions for general that I've seen before include "Officer of the highest rank" , "Common - army officer" , "Regular - officer" , "Officer < sweeping < public" , "Not partial, local or particular like army chief" .)
(Other definitions for generic that I've seen before include "Of an entire kind or group" , "Not specific; of a class" , "Collective" , "Unspecific" , "of a particular type" .)