Final answer:
The provided information does not specify the age at which promethazine can be administered to children intramuscularly for nausea and vomiting. It's crucial to consult a healthcare professional for guidelines on medication administration to children.
Step-by-step explanation:
The original question regarding promethazine administration intramuscularly for nausea and vomiting in children does not contain the specific information needed to determine the age at which it can be given. Promethazine is a medication used to treat allergies, nausea and vomiting, motion sickness, and to help with sleep. However, it is important to follow healthcare guidelines and professional advice when administering any medication to children, as dosages and age restrictions can vary.
Since the information provided does not mention promethazine or its administration guidelines, it's advised to consult a medical professional or reference authoritative medical sources for the correct age and dosage.