Final answer:
The FALSE statement is: all are true. Excitatory postsynaptic potentials (EPSPs) that reach threshold can initiate an action potential; the trigger zone is the integrating center of the neuron; inhibitory postsynaptic potentials (IPSPs) depolarize the membrane—all are true.
Step-by-step explanation:
The FALSE statement is: all are true.
Excitatory postsynaptic potentials (EPSPs) that reach threshold can indeed initiate an action potential.
The trigger zone, specifically the axon hillock, is the integrating center of the neuron where summation of multiple EPSPs and IPSPs occurs.
Inhibitory postsynaptic potentials (IPSPs) hyperpolarize the membrane, making it less likely for the neuron to fire an action potential.