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## Homework Statement

In Spivak's Calculus 4e, he defines absolute value as:

[tex]|a|= a,\qquad a\ge 0 \qquad \text{ and } \qquad -a,\qquad a \le 0 [/tex]

Did he really mean to include the '[itex]\le [/itex]' and not just '<' ?

I know it does not affect the answer, but I didn't think that you could include the '=' condition for both.

Maybe I am wrong, and of course I am stressing over the trivial. But that's what I do

Any thoughts?