Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Mathematical Logic Logical Connectives
Consider α, β, γ as logical variables. Identify which of the following represents correct logical equivalence:
(A) (α ∧ (β ∨ γ)) ≡ ((α ∧ β) ∨ (α ∧ γ))
(B) (α ∨ β) ≡ ¬α ∨ β
(C) (α ⇒ β) ≡ (¬β ⇒ ¬α)
(D) (¬(α ∨ β)) ≡ (¬α ⇒ ¬β)
Choose the correct answer from the options given below:
1
(A) and (D) only
2
(B) and (C) only
3
(A) and (C) only
4
(B) and (D) only