Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.2 - Page 50: 49

Answer

(p ⟶r) ⟷ (q⟶r) ( p ⟶r) ⟶(q ⟶r) ∧(q ⟶r) ⟶( p ⟶r) ~(~p v r) V (~q v r) ∧~(~q v r) ∨(~p v r) (p ∧~r) ∨(~q ∨r) ∧(q ∧~r) ∨(~p v r)

Work Step by Step

1) By the definition of (if and only if) 2) p ⟶r = ~p v r *same goes for q 3) by de morgan laws
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