Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.1 - Propositional Logic - Exercises - Page 13: 7

Answer

a.) False b.)True c.)True d.)True e.)True

Work Step by Step

Given, Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was 138 billion dollars and its net profit was 8 billion dollars, the annual revenue of Nadir Software was 87 billion dollars and its net profit was 5 billion dollars, and the annual revenue of Quixote Media was 111 billion dollars and its net profit was 13 billion dollars. To find the truth value of each of the propositions for the most recent fiscal year. a.) false because Quixote Media had not the largest annual revenue. Acme Computer have more annual Revenue than Quixote Media. b.) True. This proposition is true because both the statements are true. c.) True. this proposition have 'or' . if either of the statement is true than the whole proposition will be true. So Quixote Media had the largest net profit is true. d.) True. This proposition is a conditional statement. Acme Computer had the largest annual revenue.is true even though Quixote Media did not have the smallest net profit,the conclusion still holds. e.) true. this proposition is bi-conditional statement since both the statements are true Nadir Software had the smallest net profit and Acme Computer had the largest annual revenue so the proposition is also true.
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