laxness vs negligence

laxness and negligence both are nouns.

Word	Noun	Adjective	Verb	Adverb
laxness	Yes	No	No	No
negligence	Yes	No	No	No

As nouns, negligence is a hypernym of laxness; that is, negligence is a word with a broader meaning than laxness:

Other hypernyms of laxness include neglect, neglectfulness.

laxness (noun)	negligence (noun)
the quality of being lax and neglectful	failure to act with the prudence that a reasonable person would exercise under the same circumstances
the condition of being physiologically lax	the trait of neglecting responsibilities and lacking concern