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The more negative the RMP the more excitable the nerve cell ? Help please ?

"a more negative membrane potential indicates higher excitability because the more negative the potential, the more sodium channels are in the state of closed and capable of opening, while at a less negative membrane potential a higher percentage of channels are in the state of closed and incapable of opening than in a more negative membrane potential." 

This was written by one of the foreign high achievers in my class and I'm confused by how its true. 

If the RMP is more negative, wouldn't the neuron need a stronger stimulus for the threshold to be reached ? Wouldn't that make it less excitable than other neurons who are in an env with a less negative RMP ? 

Update:

P.s, I'm sure it is true, I just want an explanation please. 

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