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PhoenixFire
 3 years ago
Need help with a proof
The theory is: if 3 divides a^2 then 3 divides a.
Now, they ask for the contrapositive (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 contrapositive:
I'm not sure whether to use proof by cases, direct proof, or any of the other methods of proof.
PhoenixFire
 3 years ago
Need help with a proof The theory is: if 3 divides a^2 then 3 divides a. Now, they ask for the contrapositive (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 contrapositive: I'm not sure whether to use proof by cases, direct proof, or any of the other methods of proof.

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vf321
 3 years ago
Best ResponseYou've already chosen the best response.0Well I don't see what's wrong with proving the original statement and by modus tollens show that the contrapositive is true...

vf321
 3 years ago
Best ResponseYou've already chosen the best response.0If I was to prove anything here I would use variables and show how they factor...
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