If p and q are two logical statements, then p ⇒ q ⇒ p is equivalent to

Question

If p and q are two logical statements, then p ⇒ q ⇒ p is equivalent to, p ⇒ p ⇒ q, p ⇒ p ∨ q, p ⇒ p ∧ q, p ⇒ p ⇔ q

MARKS App · Accepted Answer

p ⇒ q ⇒ p ≡ ~ p ∨ ~ q ∨ p ≡ ~ p ∨ p ∨ ~ q ≡ t ∨ ~ q ≡ t hence, p ⇒ q ⇒ p is a tautology Now, p ⇒ p ⇒ q is false when p is true and q is false p ⇒ q ∨ p ≡ ~ p ∨ p ∨ q ≡ ~ p ∨ p ∨ q t ∨ q ≡ t Hence, B is correct. Also, p ⇒ p ∧ q is false when p is true and q is false Also, p ⇒ p ⇔ q is false when p is true and q is false

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