border district vs district

border district and district both are nouns.

Word	Noun	Adjective	Verb	Adverb
border district	Yes	No	No	No
district	Yes	No	Yes	No

As nouns, district is a hypernym of border district; that is, district is a word with a broader meaning than border district:

border district: district consisting of the area on either side of a border or boundary of a country or an area
district: a region marked off for administrative or other purposes

Other hypernyms of border district include dominion, territorial dominion, territory.

border district (noun)	district (noun)
district consisting of the area on either side of a border or boundary of a country or an area	a region marked off for administrative or other purposes

border district (verb)	district (verb)
	regulate housing in; of certain areas of towns