Correct option is A
The correct sentences, to use the given word correctly, are (B) & (C).
The term " inviolable" refers to something that is sacred, secure, and must not be violated or profaned.
The sentence (B) uses "inviolable" correctly. It conveys the idea that the detective firmly believed in the unassailable and sacred nature of justice.
The sentence (C) also uses "inviolable" correctly. It highlights the idea that the constitution ensures citizens have certain fundamental and unalterable freedoms forming the core of a democratic society.
The sentence (A) uses the word “inviolable” incorrectly. In this context, "importance" is the appropriate noun to convey the unassailable and absolute nature of the importance of education.