Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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.
 one year ago
 one year 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.
 one year ago
 one year ago

This Question is Closed

vf321Best ResponseYou've already chosen the best response.0
Well I don't see what's wrong with proving the original statement and by modus tollens show that the contrapositive is true...
 one year ago

vf321Best ResponseYou've already chosen the best response.0
If I was to prove anything here I would use variables and show how they factor...
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.