rule out vs eliminate

rule out and eliminate both are verbs.

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

As verbs, rule out and eliminate are synonyms defined as:

Other synonyms of rule out include reject, winnow out.

As verbs, eliminate is a hypernym of rule out; that is, eliminate is a word with a broader meaning than rule out:

Other hypernyms of rule out include obviate, rid of.

rule out (verb)	eliminate (verb)
dismiss from consideration or a contest	eliminate from the body
include or exclude by determining judicially or in agreement with rules	kill in large numbers
make impossible, especially beforehand	terminate, end, or take out
	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