'ineliminable' originates from Latin, specifically the word 'eliminare', where the prefix 'e-/ex-' meant 'out' and the root 'limen' (threshold) contributed to the sense of driving or putting out; the English adjective is formed by adding the negative prefix 'in-' to 'eliminable'.

'eliminare' in Latin passed into later Latin and Old French (French 'éliminer'), then into English as 'eliminate'; from this came 'eliminable' (able to be eliminated) and finally the modern English word 'ineliminable' formed by prefixing 'in-'.

Initially, the Latin verb carried the sense 'to drive out' or 'expel'; over time the descendant 'eliminate' came to mean 'remove or get rid of', and 'ineliminable' developed the current meaning 'not able to be removed'.