Mark the correct answer in each of the following:
If p is negation of q, then (p ⇒ q) v (q ⇒ p) is a
(a) tautology
(b) contradiction
(c) contingency
(d) none of these
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Solution
Given ~p = q
Then, (p ⇒ q) ∨ (q ⇒ p)
is (p ⇒ ~p) ∨ (~p ⇒ p)
i.e. both the possibility of occurrence is observed.
Hence, statement is a tautology statement.