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Using the truth table show that the statement pattern p → (q → p) is a tautology. - Mathematics and Statistics

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Question

Using the truth table show that the statement pattern p → (q → p) is a tautology.

Sum
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Solution

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

All the entries in the last column of the above truth table are T.

∴ p → (q → p) is a tautology.

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