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Longman Dictionary of Contemporary English
ineducable
adjective
EXAMPLES FROM CORPUS
▪ It provides special education, as noted in Chapter 4, for educationally subnormal children and for those previously described as ineducable.
▪ These are the 3% placed in welfare institutions or left at home with parents, classed as ineducable.
Douglas Harper's Etymology Dictionary
ineducable

1884, from in- (1) "not" + educable. Related: Ineducability.

Wiktionary
ineducable

a. Incapable of being educated