Tried the following in sage. The answer is False, which is apparently incorrect. Anyone ever encountered this before? Any idea on what happened here?
forget() assume(x >= 0) expr = sin(x) < x
|   | 1 |  initial version  | 
forget() assume(x >= 0) expr = sin(x) < x
|   | 2 |  No.2 Revision  | 
|   | 3 |  No.3 Revision  | 
forget()
assume(x >= 0)
expr = sin(x) < <= x
print(bool(expr))
|   | 4 |  No.4 Revision  | 
forget()
assume(x >= 0)
expr = sin(x) <= x
print(bool(expr))
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                Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.