Final answer:
The greater palatine nerve block is needed to anesthetize the palatal tissue around the left max molar.
Step-by-step explanation:
The injection needed to anesthetize the palatal tissue around the left max molar is the greater palatine nerve block.
The greater palatine nerve is responsible for innervating the palatal tissue, including the left maxillary molar. To perform the greater palatine nerve block, the dentist will inject anesthesia into the greater palatine foramen, which is located between the second and third molar.
This injection effectively numbs the palatal tissue around the left maxillary molar, ensuring a pain-free dental procedure.