Final answer:
The best web search approach for checking criminal backgrounds is to primarily check the person's state of residence.
Step-by-step explanation:
The best web search approach when checking criminal backgrounds would be to primarily check the person's state of residence. This is because criminal records are typically maintained at the state level, so searching within the person's current or previous state of residence would likely yield the most accurate and up-to-date information. While it may also be beneficial to check federal records, focusing on the person's state of residence would be the most effective approach.