OK, in my book we have an inequality ||z|-|w||[tex]\leq[/tex]|z+w|[tex]\leq[/tex]|z|+|w| then from here it simply states, "Replacing w by -w here shows that ||z|-|w||[tex]\leq[/tex]|z-w|[tex]\leq[/tex]|z|+|w|.(adsbygoogle = window.adsbygoogle || []).push({});

How do we know that???

is |z+w|=|z-w|?? Note that z and w are complex numbers.

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# Complex numbers

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