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Theorem: Given a,b belongs to real number R, with a<b, the intervals (0,1) and (a,b) have...

Theorem: Given a,b belongs to real number R, with a<b, the intervals (0,1) and (a,b) have the same cardinality.

Proof: Consider h:(0,1)-----> (a,b), given by h(x)= (b-a) (x)+a. Finish the proof.

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