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Examine Whether the Following Statement Pattern is Tautology, Contradiction Or Contingency : P ∨ – (P ∧ Q) - Mathematics and Statistics

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Question

Examine whether the following statement pattern is tautology, contradiction or contingency :
p ∨ – (p ∧ q)

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Solution

We make the truth table as follows 

P q P ∧ q – (P ∧ q) Pv – (P ∧ q)
T T T F T
T F F T T
F T F T T
F F F T T

So the final statement is always true. So it is a
tautology. 

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2017-2018 (March)

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