eliminate vs close out

eliminate and close out both are verbs.

Word	Noun	Adjective	Verb	Adverb
eliminate	No	No	Yes	No
close out	No	No	Yes	No

As verbs, close out is a hyponym of eliminate; that is, close out is a word with a more specific, narrower meaning than eliminate:

Other hyponyms of eliminate include preclude, rule out.

eliminate (verb)	close out (verb)
eliminate from the body	to finish off
kill in large numbers	terminate by selling off or disposing of
terminate, end, or take out	make impossible, especially beforehand
remove (an unknown variable) from two or more equations
dismiss from consideration or a contest
remove from a contest or race
get rid of something