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: 8

Answer

a. (h∧w)∧~s b. ~w∧(h∧s) c. ~h∧(~w∧~s) d. (~w∧~s)∧h e. w∧~(h∧s)

Work Step by Step

Translate every occurrance of "and" or "but" as "∧." Translate every occurrance of "not" as "~," and every occurrance of "neither...nor..." as "~_∧~_." Note that answers may vary due to the commutative law. However, be careful when dealing with negatives: "~(x∧y)" is logically equivalent to "~x∨~y," NOT "~x∧~y."
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