country vs back country

country and back country both are nouns.

Word	Noun	Adjective	Verb	Adverb
country	Yes	No	No	No
back country	Yes	No	No	No

As nouns, back country is a hyponym of country; that is, back country is a word with a more specific, narrower meaning than country:

Other hyponyms of country include backwoods, boondocks, hinterland, farming area, farmland, countryside, scrubland, weald, wold.

country (noun)	back country (noun)
a politically organized body of people under a single government	a remote and undeveloped area
the people who live in a nation or country
the territory occupied by a nation
an area outside of cities and towns
a particular geographical region of indefinite boundary (usually serving some special purpose or distinguished by its people or culture or geography)