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I want explanation on how to prove this theorem: If b is greater than or equal to zero then absolute value of b is greater than a iff b is greater than a or b is less than negative a.

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    if $b\ge 0$ then $|b|=b.$2012-04-17
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    It is not a theorem. It is just the definition. $|b| \geq a$ is equivalent to the $b \geq a$ or $b \leq -a$, because of the definition of $|b|$ which is $b$ for $b \geq 0$ and $-b$ for $b \leq 0$.2012-04-17

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