Comment #13 on issue 2618 by [email protected]: Solve fails on expressions containing finite symbols
http://code.google.com/p/sympy/issues/detail?id=2618

"Intended behavior of Q.is_bounded(x) seems to be that it returns False on a standard Symbol if it has no information. This seems mathematically correct as we're not sure at this point that x will stay away from infinity - is x bounded? no."

I'm not sure this is coherent with other assumptions.

Consider for example this:

In [1]: x=Symbol('x')
In [2]: ask(Q.real(x))

So, None is returned here, and not False.
But since "we're not sure at this point that x will stay" real, using the same reasoning you used, False should be returned instead.

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