• PhoenixFire
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.
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • katieb
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
Well I don't see what's wrong with proving the original statement and by modus tollens show that the contrapositive is true...
  • anonymous
If I was to prove anything here I would use variables and show how they factor...

Looking for something else?

Not the answer you are looking for? Search for more explanations.