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 2.1 - Page 38: 50

Answer

(p ∧ ~q) v p ≡ p v ( p ∧ ~ q) (By Commutative Law) p v ( p ∧ ~ q) = p (By Absorption Law)

Work Step by Step

Commutative Law states p or q equivalence to q or p. Absorption Law states p or ( p and q) equivalence to p. so replacing q with ~q gives us p or (p and ~q) equivalence to p.
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