SOLUTION: Hello, Can someone please help me with a truth table, I am the worst in trying to fiqure them out but I tried here what I did Fill in the heading of the following truth tabl

Question 263168: Hello,
Can someone please help me with a truth table, I am the worst in trying to fiqure them out but I tried here what I did
Fill in the heading of the following truth table using any of p, q, ~, , ↔, , and . Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for .
p.......q........P<->q
T.......T........T
T.......F........T
F.......T........F
F.......F........T

I not sure I did that right, I'm so confused with these type of problem and I have more to do.
Thank you so much for your help, I'm new to this web site a friend recommended you site to me.
Again Thank you I hope you can help me.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It is almost impossible to display
the proper ordering of a truth
table on this site. May I suggest
you Google "truth table examples".
There you will see worked examples
that may help you.
Check the Wikipedia site on truth tables.
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Recall that the truth table for p -> q is

p.......q........p -> q
T.......T........T
T.......F........F
F.......T........T
F.......F........T

In other words, p -> q is only false when p is true and q is false. This is like saying that "if it rains, then it will be wet outside". If it does rain, but doesn't get wet, then the statement is false. In any other case, p -> q is true.

If we swap p and q to get q -> p, we then get

p.......q........q -> p
T.......T........T
T.......F........T
F.......T........F
F.......F........T

So the proper heading for the last column is q -> p
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