nutsedge vs sedge

nutsedge and sedge both are nouns.

Word	Noun	Adjective	Verb	Adverb
nutsedge	Yes	No	No	No
sedge	Yes	No	No	No

As nouns, sedge is a hypernym of nutsedge; that is, sedge is a word with a broader meaning than nutsedge:

nutsedge: a widely distributed perennial sedge having small edible nutlike tubers
sedge: grasslike or rushlike plant growing in wet places having solid stems, narrow grasslike leaves and spikelets of inconspicuous flowers

nutsedge (noun)	sedge (noun)
a widely distributed perennial sedge having small edible nutlike tubers	grasslike or rushlike plant growing in wet places having solid stems, narrow grasslike leaves and spikelets of inconspicuous flowers