Final answer:
Sensory nerve signals are carried by the axons within the dorsal roots of the spinal cord, which originate from the sensory neurons in the dorsal root ganglia.
Step-by-step explanation:
The spinal nerve roots that carry sensory nerve signals are contained within the dorsal roots of the spinal cord. Sensory neurons residing in the dorsal root ganglia send their axons into the spinal cord through these dorsal nerves. The spinal nerves also have ventral roots which carry axons of motor neurons that innervate skeletal muscles and control contraction.
It is noteworthy that sensory information relayed by the spinal nerves can pertain to various sensations such as touch, proprioception, pain, and temperature, managed by different pathways like the dorsal column system and the spinothalamic tract.