Final answer:
Orthodontic pliers are the instruments that remove elastomeric ligature ties.
Step-by-step explanation:
The instrument that removes elastomeric ligature ties is Orthodontic pliers. Orthodontic pliers are specifically designed for use in orthodontics and have various types that perform different functions, such as wire bending and removing ligatures. They have a beak-like shape and are used by orthodontists to hold, manipulate, and remove different components used in braces.