Inspectorial is a term that refers to anything related to inspection or the duties of an inspector. Synonyms for this word could include supervisory, investigative, regulatory, examining, audit-related, oversight, scrutinizing, and monitoring. All of these synonyms describe the act of checking and observing for compliance, whether it be in a professional capacity or as part of a government agency. Other words that could be used to describe inspectorial duties might include assessing, evaluating, appraising, or reviewing. Ultimately, the term inspectorial refers to a specific job function or responsibility, and its synonyms are rooted in the same concept.