inequality vs difference

inequality and difference both are nouns.

Word	Noun	Adjective	Verb	Adverb
inequality	Yes	No	No	No
difference	Yes	No	No	No

As nouns, difference is a hypernym of inequality; that is, difference is a word with a broader meaning than inequality:

inequality (noun)	difference (noun)
lack of equality	the quality of being unlike or dissimilar
	a disagreement or argument about something important
	a variation that deviates from the standard or norm
	the number that remains after subtraction; the number that when added to the subtrahend gives the minuend
	a significant change