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Homework Statement
Explain why ## (0,1 ) ## and ## (0,2)##
I have proved that a function ## f: (0,1 ) -> (0,2) ##defined by f(x) =2x is bijective.
Homework Equations
The Attempt at a Solution
I could state that due to the sets relationship being bijective they have the same cardinality, but this is only true if both sets are finite. Here, (0,1) and (0,2 ) are infinite.
Any help?