'non-inspectability' originates from Modern English, specifically from the combination of the prefix 'non-' and the word 'inspectability', where 'non-' meant 'not' and the root 'inspect-' ultimately comes from Latin 'inspicere' meaning 'to look into'.

'inspect' comes from Latin 'inspicere' (to look into) and entered English via Old French 'inspecter' and Middle English forms; the adjective-forming suffix '-able' (from Latin/French) produced 'inspectable', then the noun-forming suffix '-ity' produced 'inspectability', and in Modern English the negative prefix 'non-' was added to form 'non-inspectability'.

Initially formed to mean 'not able to be inspected' as a straightforward negation of 'inspectability'; the sense has remained essentially the same in technical and descriptive usages.