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PhoenixFire Group Title

Need help with a proof The theory is: if 3 divides a^2 then 3 divides a. Now, they ask for the contra-positive (p->q = ~p->~q), which will be: if 3 does not divide a then 3 does not divide a^2 So now how do you prove the contra-positive: I'm not sure whether to use proof by cases, direct proof, or any of the other methods of proof.

  • 2 years ago
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  1. vf321 Group Title
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    Well I don't see what's wrong with proving the original statement and by modus tollens show that the contrapositive is true...

    • 2 years ago
  2. vf321 Group Title
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    If I was to prove anything here I would use variables and show how they factor...

    • 2 years ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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