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Prove that the interval (0,1) ⊆ R is equinumerous with the interval (3,7), where R is the set of real numbers.

Question

Prove that the interval (0,1) ⊆ R is equinumerous with the interval (3,7), where R is the set of real numbers.

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Step 1

To establish a one to one  , onto (bijective map) between the open intervals (0,1) and (3,7)

Step 2

Recall that two sets X and Y are equinumerous if there exists a function f:X->Y, which is both one-one and onto (bijective map)

Step 3

In this case, f can be viewed as the straight line segment joini...

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