Here are some examples:
* "The mechanic's hands were grimy from working on the car."
* "The old, grimy apartment had not been cleaned in years."
* "The street was grimy with spilled oil and garbage."
The word "grimy" can also be used figuratively to describe something that is morally or ethically unclean. For example:
* "The politician's grimy campaign tactics were widely criticized."
* "He made a grimy deal with the criminal underworld."
Overall, "grimy" implies a state of being dirty, unpleasant, and potentially harmful.