Does an iPhone 5s have to have a 4G SIM to work?

I want to buy an iPhone, and put my current SIM inside it, which doesn't have 4G, will this work?

(and yes I do know that I need a nano SIM)

It's not necessary. IPhone 5S supports 2G, 3G and 4G. So don't worry,.

Yes it would work.

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