Which type of tissue is responsible for carrying messages to and from the brain?

Nerve tissue is the correct choice because it is specifically designed to facilitate communication within the body. It is composed of neurons and glial cells, where neurons are responsible for transmitting signals between the brain and various parts of the body. This tissue generates and conducts electrical impulses, allowing for the processing and relay of information that coordinates bodily functions and responses.

Muscle tissue, on the other hand, is primarily responsible for movement through contraction. While it can respond to signals from nerve tissue, it does not carry messages itself. Connective tissue serves to support and bind other tissues and does not play a role in messaging. Epithelial tissue lines and protects surfaces but also does not function as a communication medium. Thus, nerve tissue is uniquely suited for the task of message transmission, making it the correct answer.