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I would like to install a 9000 BTU Mr Slim (cooling only) in a 12 x 12 bedroom. That is the smallest they make in a single zone setup. The minimum the unit will go down to is 3800 Btu. I'm aware of the inverter type compressor. The question is will the unit short cycle with such a small load?? I'am located in the New York City area. thanks DAN