district vs region

district and region both are nouns.

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

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

district (noun)	region (noun)
a region marked off for administrative or other purposes	a part of an animal that has a special function or is supplied by a given artery or nerve
	a knowledge domain that you are interested in or are communicating about
	the extended spatial location of something
	a large indefinite location on the surface of the Earth
	the approximate amount of something (usually used prepositionally as in `in the region of')

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