Final answer:
The correct statement when a neuron is at rest is that the activation gate is closed, and no Na+ crosses the membrane. Therefore, the answer to the student's question is E) A and C.
Step-by-step explanation:
When a neuron is at rest, it is true that the activation gate is closed, and the inactivation gate is open. No Na+ crosses the membrane at this time because the activation gates of the voltage-gated Na+ channels are closed until the membrane potential reaches the threshold potential around -55 mV. Therefore, the correct answer to the question would be E) A and C, which indicates that the activation gate is closed and no Na+ crosses the membrane during the resting state of the neuron.