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Question
(p → q) ∨ p is logically equivalent to ______
Options
T
∼p
p
F
MCQ
Fill in the Blanks
Solution
(p → q) ∨ p is logically equivalent to T.
Explanation:
(p → q) ∨ p
≡ (∼p ∨ q) ∨ p
≡ (∼p ∨ p) ∨ q .............. [Commutative law]
≡ T ∨ q ............... [Complement law]
≡ T .............. [Identity law]
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