shabbiness vs inelegance

shabbiness and inelegance both are nouns.

Word	Noun	Adjective	Verb	Adverb
shabbiness	Yes	No	No	No
inelegance	Yes	No	No	No

As nouns, inelegance is a hypernym of shabbiness; that is, inelegance is a word with a broader meaning than shabbiness:

shabbiness: a lack of elegance as a consequence of wearing threadbare or dirty clothing
inelegance: the quality of lacking refinement and good taste

shabbiness (noun)	inelegance (noun)
an unjust act	the quality of lacking refinement and good taste
a lack of elegance as a consequence of wearing threadbare or dirty clothing