The peripheral nervous system is responsible for both sending and receiving signals to and from the brain.

The statement is true.

Explanation:

The peripheral nervous system is the division of the nervous system that contains all the nerves outside the central nervous system (CNS). Its main function is to connect the CNS with the organs, limbs and the skin. These nerves extend from the central nervous system to the most peripheral areas of the body. It allows the brain and spinal cord to receive and send information to other areas of the body, which makes us react to the stimuli of our environment. The brain encodes external signals and decides how to respond. The peripheral system is the one who sends the information, and after evaluating it, the brain sends the appropriate responses to the necessary parts of the body.