(A) state had failed to provide some inmates at the maximum-security prison with proper food and healthcare in violation of the constitution
"in violation of the constitution" is a misplaced prepositional phrase, conveying the ridiculous meaning that the healthcare is in violation of constitution
(B) state failed to provide some inmates at the maximum-security prison with proper food and healthcare and is a violation of the constitution
this choice conveys the ridiculous meaning that state is a violation of constitution
Also use of past perfect "had failed" is better to reflect a meaningful time sequence since "failing to provide" comes before "the states' ruling"
(C) state has failed for providing some inmates at the maximum-security prison with proper food and healthcare in violation of the constitution
"in violation of the constitution" is a misplaced prepositional phrase, conveying the ridiculous meaning that the healthcare is in violation of constitution
Also use of past perfect "had failed" is better to reflect a meaningful time sequence since "failing to provide" comes before "the states' ruling"
(D) state, in violation of the constitution, had failed to provide some inmates at the maximum-security prison with proper food and healthcare
Correct(E) state, in violation of the constitution, had failed for providing some inmates at the maximum-security prison with proper food and healthcare
"had failed for" is not the preferred idiom