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Question 260500: I have to construct a truth table for 2 different problems I am having a horrible time understanding how to do this.
Problem 1: ~q V p
Problem 2: (p ^ ~q) "if and only then" q The mark in the middle of p and ~q is suppose to be upside V, for "and".
Please show me how to do these 2 problems, I have trying for a couple of hours and I am completely lost.
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! Problem 1: ~q V p - -> I translate this as not q union "or" p
here is the truth table for this:
p . . . . .q . . . . .~q . . . . . ~q V p
T . . . . .T . . . . .F . . . . . . . . . T
T . . . . .F . . . . .T . . . . . . . . .T
F . . . . .T . . . . . F . . . . . . . . .F
F . . . . .F . . . . .T . . . . . . . . . T
Problem 2: (p ^ ~q) - - > I translate this as p intersection "and" not q
here is the truth table for this:
p . . . . .q . . . . .~q . . . . . p ^ ~q
T . . . . .T . . . . .F . . . . . . . . . F
T . . . . .F . . . . .T . . . . . . . . .T
F . . . . .T . . . . . F . . . . . . . . .F
F . . . . .F . . . . .T . . . . . . . . . F
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