How to prove equality of the cardinality two sets?

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The question states:

Prove that $|(0,1)| = |(-e, \pi)|$.

I am assuming this has something to do with the Cantor-Bernstein-Schröeder Theorem, but I don't really have a good understanding as to how to apply it.

How would I show this proof?

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Hint:

Construct a straight line connecting point $(0,-e)$ and point $(1,\pi)$.