October 28th, 2011, 10:00 AM  #1 
Newbie Joined: Oct 2011 Posts: 3 Thanks: 0  Truth Table problem
Hello, I'm currently working on a truth table, and I seem to have a problem with grasping some of the concepts. I'm trying to figure this out: (p > q) <> (q > p). If you're used to different symbols, this is the text version: (p if then q) if and only if (not q if then not p) p q p > q q => p (p > q) <> (q > p) 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 Am I right, or way off? Akhanoth 
October 28th, 2011, 10:12 AM  #2 
Newbie Joined: Oct 2011 Posts: 3 Thanks: 0  Re: Truth Table problem
p q.........p > q.......q => p.........(p > q) <> (q > p) 0 0.........1.................1..................... ....1 0 1.........1.................1..................... ....0 1 0.........0.................0..................... ....0 1 1.........1.................1..................... ....1 had to do it like this, couldn't get the multiple spaces to work =p 
October 28th, 2011, 11:29 AM  #3 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Truth Table problem
Your method is right, and your first two (or four if you count the variables) columns are right. But the last column is p <> q when it should be (p > q) <> (q > p). Just put a 1 when the two columns immediately to the left are the same and a 0 when they are different.

October 28th, 2011, 11:44 AM  #4 
Newbie Joined: Oct 2011 Posts: 3 Thanks: 0  Re: Truth Table problem
Thanks a lot for the help! Does that go for every situation? Or simply because it's a <> in between? 
October 28th, 2011, 06:10 PM  #5  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Truth Table problem Hello, Akhanoth! Quote: [color=beige]. . [/color]  
October 29th, 2011, 07:38 AM  #6  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Truth Table problem Quote:
 

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