puff up vs inflate

puff up and inflate both are verbs.

Word	Noun	Adjective	Verb	Adverb
puff up	No	No	Yes	No
inflate	No	No	Yes	No

As verbs, inflate is a hypernym of puff up; that is, inflate is a word with a broader meaning than puff up:

Other hypernyms of puff up include amplify, blow up, expand.

puff up (verb)	inflate (verb)
make larger or distend	fill with gas or air
to swell or cause to enlarge	exaggerate or make bigger
praise extravagantly	become inflated
become filled with pride, arrogance, or anger	increase the amount or availability of, creating a rise in value
	cause prices to rise by increasing the available currency or credit