SOLUTION: P is True, q and r are False- find the truth value. a) (p ^ ~q) ^ r b) ~(q ~ r)

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Question 88960: P is True, q and r are False- find the truth value.
a) (p ^ ~q) ^ r


b) ~(q ~ r)
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

P is True, q and r are False- find the truth value.
a) (p /\ ~q) /\ r

   (p /\ ~q) /\ r 
   (T /\ ~F) /\ F
   (T /\  T) /\ F
           T /\ T
             T   


b) ~(q ~ r)

That doesn't make sense, you left out a symbol.

If you left out /\, then  

   ~(q /\ ~r)
   
   ~(F /\ ~F)

   ~(F /\ T)

   ~F
   
    T

If you left out \/, then  

   ~(q \/ ~r)
   
   ~(F \/ ~F)

   ~(F \/ T)

   ~T
   
    F

Edwin