SOLUTION: Determine whether the statement is a tautology, self-contradiction or neither (p ^ ~q) -> q

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Question 87462: Determine whether the statement is a tautology, self-contradiction or neither
(p ^ ~q) -> q
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Set up a truth table to see if the given statement is a tautology, self-contradiction, or neither.

pq~qp ^ ~q(p ^ ~q) -> q
TTFFT
TFTTF
FTFFT
FFTFT


Focus on the last column of red truth values. Since there are 3 true possibilities and one false one, we can see that the statement is neither a tautology or a self-contradiction.