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Equals, Less, Greater, etc; Confused by this simple output.

• To: mathgroup at smc.vnet.net
• Subject: [mg109825] Equals, Less, Greater, etc; Confused by this simple output.
• From: telefunkenvf14 <rgorka at gmail.com>
• Date: Wed, 19 May 2010 07:03:26 -0400 (EDT)

Can someone offer an explanation for the following output?---I'm
trying to understand why it makes sense for Mathematica to be set up
to respond like this. (Of course, feel free to point out any glaringly
obvious math examples.)

In[1]:= {a == a, a <= a, a >= a, a < a, a > a}

Out[1]= {True, a <= a, a >= a, a < a, a > a}

I would have thought that a <= a and a >= a would both evaluate to
True, given that a == a does. Also, can something really be greater
than itself? Hmmm... maybe there's hope for me after all. :)

-RG