telephone bill vs invoice

telephone bill and invoice both are nouns.

Word	Noun	Adjective	Verb	Adverb
telephone bill	Yes	No	No	No
invoice	Yes	No	Yes	No

As nouns, invoice is a hypernym of telephone bill; that is, invoice is a word with a broader meaning than telephone bill:

telephone bill: statement of charges for telephone service
invoice: an itemized statement of money owed for goods shipped or services rendered

Other hypernyms of telephone bill include account, bill.

telephone bill (noun)	invoice (noun)
statement of charges for telephone service	an itemized statement of money owed for goods shipped or services rendered

telephone bill (verb)	invoice (verb)
	send a bill to