hold on vs carry on

hold on and carry on both are verbs.

Word	Noun	Adjective	Verb	Adverb
hold on	No	No	Yes	No
carry on	No	No	Yes	No

As verbs, carry on is a hypernym of hold on; that is, carry on is a word with a broader meaning than hold on:

Other hypernyms of hold on include bear on, continue, preserve, uphold.

hold on (verb)	carry on (verb)
be persistent, refuse to stop	continue talking
stop and wait, as if awaiting further instructions or developments	direct the course of; manage or control
hold the phone line open	misbehave badly; act in a silly or improper way
hold firmly	keep or maintain in unaltered condition; cause to remain or last
retain possession of