Question

The negation of the compound proposition p ∨ (~ p ∨ q) is
1. p ∧ q 
2. tautology
3. fallacy 
4. (p ∧ q) ∨ ~ p

Answer 1

Correct Answer - Option 3 : fallacy 

~ [p ∨ (~p ∨ q)] = ~ p ∧ ~ (~p ∨ q) = ~ p ∧ (p ∧ ~ q) = (~p ∧ p) ∧ (~q) = f ∧ (~q) = f