Question: Determine a one-to-one correspondence between the open interval (0, 1) and the open intervals (a) (0, 3); (b) (2, 7); and (c) (a, b), where

Determine a one-to-one correspondence between the open interval (0, 1) and the open intervals
(a) (0, 3);
(b) (2, 7); and
(c) (a, b), where a, b ∈ R and a < b.

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