Tip:A–D to answerE for explanationV for videoS to reveal answer
Negation of (p→q)→(q→p) is
- A.
(¬q)∧p
- B.
p∨(¬q)
- C.
(¬p)∨q
- D.
q∧(¬p)
(Correct Answer)
Explanation
Given: (p→q)→(q→p)
Negation of above statement is
∼[(p→q)→(q→p)]
≡[∼p→q∧q→p]
≡p→q∧∼q∧q∧∼p]
≡∼p∨q∧∼q∧(¬p]
Explanation
Given: (p→q)→(q→p)
Negation of above statement is
∼[(p→q)→(q→p)]
≡[∼p→q∧q→p]
≡p→q∧∼q∧q∧∼p]
≡∼p∨q∧∼q∧(¬p]