Inhibitory neurotransmitters work by binding to specific receptors on the surface of neurons. When an inhibitory neurotransmitter like GABA binds to its receptor, it typically causes an influx of chloride ions into the neuron. This influx makes the inside of the cell more negative, or hyperpolarized, thereby decreasing the likelihood that the neuron will fire an action potential. This process is essential for regulating brain activity and preventing excessive neuronal firing.