Final answer:
The correct term for the nursing action of administering an analgesic to a nonverbal patient experiencing signs of pain is pain assessment and management.
Step-by-step explanation:
The correct term for the nursing action of administering an analgesic to a nonverbal patient experiencing signs of pain, such as moaning with position changes, clenched hands, and sweaty skin, is pain assessment and management. Pain assessment involves observing and identifying signs of pain in the patient, while pain management includes implementing interventions, such as administering analgesics, to alleviate the patient's pain. In this case, the nurse is assessing the patient's pain and determining that administering an analgesic is necessary.