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: 6

Answer

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

Work Step by Step

Given , Suppose that Smartphone A has 256 MB RAM and 32 GB ROM, and the resolution of its camera is 8 MP; Smart- phone B has 288 MB RAM and 64 GB ROM, and the resolution of its camera is 4 MP; and Smartphone C has 128 MB RAM and 32 GB ROM, and the resolution of its camera is 5 MP. To find the truth value of each of the propositions. a.) True because the smartphone B has 288 MB RAM which is the most of the three smartphones. b.) True because 'or' has been used in the proposition so either the ROM has to be greater or the resolution has to be greater. In this proposition the resolution is greater so it is true. c.)False, The smartphone B has more RAM and more ROM but the resolution Smartphone B i.e.4 MP is less than the Smartphone A i.e. 8 MP. d.) False. Smartphone B has 288 MB RAM and 64 GB ROM which is more than smartphone C but it has less resolution camera than smartphone C e.)False, The given proposition is biconditional. which is F - T is F according to the truth table
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