Maharashtra State BoardHSC Commerce 12th Board Exam
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Examine whether the following statement pattern is a tautology, a contradiction or a contingency. ~ p → (p → ~ q) - Mathematics and Statistics

Sum

Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

~ p → (p → ~ q)

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Solution

p q ~p ~q p→~q ~p→(p→~q)
T T F F F T
T F F T T T
F T T F T T
F F T T T T

All the truth values in the last column are T. Hence, it is tautology.

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