SOLUTION: if p ^ ~ q is true and ~ršŸ”›q is false then r must be

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Question 1172459: if p ^ ~ q is true and ~ršŸ”›q is false then r must be

Answer by Plocharczyk(17) About Me  (Show Source):
You can put this solution on YOUR website!
if p ^ ~ q is true
 
^ is true when and only when there are true statements on both sides of it.
So p is true and ~q is also true.  

Therefore p is true and q is false.
and ~ršŸ”›q is false then r must be ???.
I'm not sure what šŸ”› means, but I think it's ā†”, which is material equivalence.

Then ā†” is true when and only when the statements on both sides have the same truth value,
i.e., if and only if they are both true or they are both false.  

So we have so far that q is false, so ~r must have that same truth value.  So ~r is also 
false, which makes r true.

Edwin