Final answer:
The Rex rabbit is known for its plush, velvety fur that is used in the garment industry and is also popular for commercial, pet, and show purposes.
Step-by-step explanation:
The breed of rabbit defined by having plush, velvety fur that is valued in the garment industry, as well as being suitable for commercial use, pet ownership, and showing, is likely the Rex rabbit. These rabbits are known for their unique fur quality that has a smooth, soft texture similar to velvet, and the breed has been used for both their pelts and as display animals in various shows. Furthermore, the Rex breed is appreciated as a domestic pet.
The breed of rabbit described in the definition is the Angora rabbit. They are known for their plush, velvety fur that is used by the garment industry. They are also good commercial rabbits and popular as pets and show rabbits.