Question

If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______ 

Options

• ∼p ∨ (q ∧ t)

• ∼p ∧ (q ∨ t)

• p ∨ (∼q ∨ t)

• ∼p ∨ (q ∧ c)

Answer 1

If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ∼p ∨ (q ∧ t).

Explanation:

Dual of ∼p ∧ (q ∨ c) ≡ ∼p ∨ (q ∧ t)