wrapping vs jacket

wrapping and jacket both are nouns.

Word	Noun	Adjective	Verb	Adverb
wrapping	Yes	No	No	No
jacket	Yes	No	Yes	No

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

wrapping: the covering (usually paper or cellophane) in which something is wrapped
jacket: an outer wrapping or casing

Other hyponyms of wrapping include envelope, film, plastic film, gift wrapping, plastic wrap.

wrapping (noun)	jacket (noun)
the covering (usually paper or cellophane) in which something is wrapped	a short coat
an enveloping bandage	an outer wrapping or casing
	(dentistry) dental appliance consisting of an artificial crown for a broken or decayed tooth
	the tough metal shell casing for certain kinds of ammunition
	the outer skin of a potato

wrapping (verb)	jacket (verb)
	put a jacket on
	provide with a thermally non-conducting cover