Question: Comparing variables

Hello. I need to solve a problem where:

  A is defined over a real inteval [c...d]   and   B is defined over another real interval [d....e]. 

I want maple  to take max(A,B) and tell me which interval is larger( asume no intersection)

For example

A=[0....1] and B=[2...3]

Answer should be max(A,B)=B

Thank you

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