Proving Numerical Equivalence of Real Number Intervals with S-B Theorem

[nickmai123]

Homework Statement

Using the Schroeder-Bernstein Theorem, prove that any two intervals of real numbers are numerically equivalent.

Homework Equations

Schroeder-Bernstein Theorem: Let $$A$$ and $$B$$ be sets, and suppose that there are injections from A into B and B into A. Then, there exists a bijective correspondence between A and B.

The Attempt at a Solution

None. I'm stuck. Can anyone help me with where to go?

 

[NeoDevin]

If and only if two intervals are "numerically equivalent", there exists a bijective correspondence between A and B.

 

[JSuarez]

Picture one of the intervals in the x-axis of the plane and the other in the y-axis. Can't you see the graph of an injective (in fact bijective) function between them?