Tip:A–D to answerE for explanationV for videoS to reveal answer
Statement (P⇒Q)∧(R⇒Q) is logically equivalent to:
- A.
(P∨R)⇒Q
(Correct Answer) - B.
(P⇒R)∨(Q⇒R)
- C.
(P⇒R)∨(Q⇒R)
Explanation
We know that
⇒P≡Q⇔¬p∨Q
⇔(¬p∧Q)∨(¬R∧Q)
⇔(¬p∧¬R)∨Q
⇔(P∨R)∨Q
Explanation
We know that
⇒P≡Q⇔¬p∨Q
⇔(¬p∧Q)∨(¬R∧Q)
⇔(¬p∧¬R)∨Q
⇔(P∨R)∨Q