Final answer:
The form of lamb that includes the primal hotel rack with connecting breast sections is known as a foresaddle, which consists of the shoulder, rib, and breast.
Step-by-step explanation:
The form of lamb consisting of the primal hotel rack with connecting breast sections is known as a foresaddle. The term foresaddle refers to the front part of the lamb which includes the ribs, and is a cut often used for roasting or grilling. This cut includes the shoulder, rib, and breast section, making it ideal for dishes that require a larger section of meat and are meant to serve multiple people, often seen in banquet settings or upscale restaurants.