Answer to Question #313373 in Discrete Mathematics for Jrd

Question #313373

Show that ¬p→(q→r) and q→(p ∨ r) are logically equivalent

1
Expert's answer
2022-03-18T09:21:56-0400

Solution


The truth table for ¬p(qr)¬p→(q→r) and q(pr)q→(p ∨ r) is shown below





From the 6th column (from left) and the 8th column, we can see that


¬p(qr)¬p→(q→r) and q(pr)q→(p ∨ r) are logically equivalent.




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