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daniellerae9

Prove that if a, b, and c are real numbers, then la+b+cl<=lal+lbl+lcl

  • one year ago
  • one year ago

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  1. Jemurray3
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    Can you do it with just two numbers, like |a+b| <= |a| + |b| ?

    • one year ago
  2. daniellerae9
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    Would it be basically the same proof?

    • one year ago
  3. Jemurray3
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    Exactly the same, yes.

    • one year ago
  4. Jemurray3
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    Can you prove it?

    • one year ago
  5. daniellerae9
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    Ok, yeah I have that one from an example in class.

    • one year ago
  6. Jemurray3
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    Well then it's the same thing. Think of it like |(a+b) + c| <= |(a+b)| + |c| <= |a| + |b| + |c|

    • one year ago
  7. daniellerae9
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    Oh, that is super easy then, thanks

    • one year ago
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