हिंदी

Prepare truth table for the statement pattern (p→q)∨(q→p) and show that it is a tautology. -

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प्रश्न

Prepare truth table for the statement pattern `(p -> q) ∨ (q -> p)` and show that it is a tautology.

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उत्तर

1 2 3 4 5
p q `bb(p -> q)` `bb(q -> p)`  `bb((p -> q) ∨ (q -> p))`
T T T T T
T F F T T
F T T F T
F F T T T

Since last column has all T's, it is a tautology.

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