Advertisements
Advertisements
Question
The negation of (p → q) ∧ r is ______.
Options
(p ∧ q) ∨ r
(p ∧ q) ∨ ∼ r
(p ∧ ∼ q) ∨ ∼ r
(∼ p ∧ q) ∨ ∼ r
MCQ
Fill in the Blanks
Solution
The negation of (p → q) ∧ r is (p ∧ ∼ q) ∨ ∼ r.
Explanation:
∼[(p → q) ∧ r]
= ∼ [(∼ p ∨ q) ∧ r] ...(Implication equivalence)
= ∼ (∼ p ∨ q) ∨ ∼ r
= (p ∧ ∼ q) ∨ ∼ r
shaalaa.com
Negations of Compound Statements
Is there an error in this question or solution?
