show business vs entertainment industry

show business and entertainment industry both are nouns.

Word	Noun	Adjective	Verb	Adverb
show business	Yes	No	No	No
entertainment industry	Yes	No	No	No

As nouns, show business and entertainment industry are synonyms defined as:

show business and entertainment industry: those involved in providing entertainment: radio and television and films and theater

Other synonyms of show business include show biz.

show business (noun)	entertainment industry (noun)
those involved in providing entertainment: radio and television and films and theater	those involved in providing entertainment: radio and television and films and theater