Which statement is false? Tert-Butyl alcohol reacts

with HCl to give 2-methylpropene by an E1 mechanism.

with HCl to give 2-chloro-2-methylpropane by an SN1 mechanism.

with HCl and HBr at very different rates.

with HCl or HBr to give a carbocation intermediate.

with HCl to give both 2-methylpropene and 2-chloro-2-methylpropane.