Choose the correct alternative : Which of the following is always true? (p → q) ≡ ∼ q → ∼ p ∼ (p ∨ q) ≡ ∼ p ∨ ∼ q

QUESTION

Miscellaneous Exercise 1 | Q 1.09 | Page 30

Choose the correct alternative :

Which of the following is always true?

• (p → q) ≡ ∼ q → ∼ p 

• ∼ (p ∨ q) ≡ ∼ p ∨ ∼ q

• ∼ (p → q) ≡ p ∧ ∼ q

• ∼ (p ∨ q) ≡ ∼ p ∧ ∼ q

SOLUTION

∼ (p → q) ≡ p ∧ ∼ q.