An absolute value property is(adsbygoogle = window.adsbygoogle || []).push({});

$$\lvert a \rvert \geq b \iff a\leq-b \quad \text{ or } \quad a\geq b,$$ for ##b>0##.

Is this true for the case ##a=0##?

I mean if ##a=0, \lvert a \rvert =0## so ##0 \geq b##. But ##b## is supposed to be ##b>0##, so we have a contradiction.

How can this property be true if ##a=0## is false?

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# I Contradiction in an absolute value property?

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