carpet slipper vs footgear

carpet slipper and footgear both are nouns.

Word	Noun	Adjective	Verb	Adverb
carpet slipper	Yes	No	No	No
footgear	Yes	No	No	No

As nouns, footgear is a hypernym of carpet slipper; that is, footgear is a word with a broader meaning than carpet slipper:

carpet slipper: low footwear that can be slipped on and off easily; usually worn indoors
footgear: covering for a person's feet

Other hypernyms of carpet slipper include footwear.

carpet slipper (noun)	footgear (noun)
low footwear that can be slipped on and off easily; usually worn indoors	covering for a person's feet