Final answer:
The correct statement that indicates an understanding of self-administration for a client with a new prescription for nitroglycerin is d. "I will place the tablet under my tongue."
Step-by-step explanation:
The correct statement that indicates an understanding of self-administration for a client with a new prescription for nitroglycerin is d. "I will place the tablet under my tongue." Nitroglycerin tablets are meant to be taken sublingually, which means they are dissolved under the tongue. This allows the medication to be quickly absorbed into the bloodstream.