I am trying to understand if it is true that: $$|x|-|y|\leq|x-y|\leq|x|+|y|$$ I know that this is a topic maybe discussed already many times...maybe I am not so good on searching for question already done..so in case this is a question already done can you tell me if the inequality holds and eventually can you give me the link of the that question?
2026-04-09 05:26:34.1775712394
Is it true that $|x|-|y|\leq|x-y|\leq|x|+|y|$?
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