Prove the following 1) ||x|-|y|| is less than or equal to |x-y|. 2) If |x-y| < E for all E > 0, then x = y.
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Originally Posted by noles2188 Prove the following 1) ||x|-|y|| is less than or equal to |x-y|. see here 2) If |x-y| < E for all E > 0, then x = y. use the contrapositive. that is, show that if , then there is some for which (you need to know the definition of absolute values here)
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