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Suppose that Smart phone A has 256 MB RAM end 32 GB ROM,

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 6E Chapter 1.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 6E

Suppose that Smart phone A has 256 MB RAM end 32 GB ROM, and the resolution of its camera is 8 MP; Smartphone 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. Determine the truth value of each of these propositions.a) Smartphone B has the most RAM of these three smartphones.________________b) Smartphone C has more ROM or a higher resolution camera than Smartphone B.________________c) Smartphone B has more RAM, more ROM, and a higher resolution camera than Smartphone A.________________d) lf Smartphone B has more RAM, and more ROM than Smartphone C, then it also have a higher resolution camera.________________e) Smartphone A has more RAM than Smartphone B if and only if Smartphone B has more RAM than Smartphone A.

Step-by-Step Solution:
Step 1 of 3

Solution: Step-1: In this problem we need to determine the truth values of each of given propositions. Given : Smart phone A has 256MB RAM and 32GB ROM , and the resolution of its camera is 8MP. Smartphone B has 288MB RAM and 64GB ROM , and the resolution of its camera is 4MP. Smart phone C has 128MB RAM and 32GB ROM , and the resolution of its camera is 5MP.Step-2:1. Given : Smart phone B has the most RAM of these three smartphones. We know that smartphone B has 288MB RAM , which is the most out of the other two phones. Therefore , the given statement is “ true”.Step-3: b) Given : Smartphone C has more ROM or a higher resolution camera than smartphone B We know that smartphone C has 64GB ROM , which is the most out of the other two phones. (or) Smartphone C has 5MP resolution of its camera and Smartphone B has 4MP resolution of its camera.So , smartphone C is a higher resolution camera than smartphone B. Therefore , the given statement is “True”.Step-4:c) Given : Smartphone B has more RAM more ROM and a higher resolution camera than smartphone A. We know that smartphone B has 288MB RAM and 64GB ROM , which are the most out of the other two phones .Smartphone A has 8MP resolution of its camera and smartphone B has 4MP resolution of its camera.So , smartphone A is a higher resolution camera than smartphone B. Therefore , the given statement is “false”.Step-5: d) Given : If smartphone B has more RAM and more ROM than smartphone C , then it also have a higher resolution camera. We know that smartphone B has 288MB RAM and 64GB ROM , which are the most out of the other two phones .Smartphone C has 5MP resolution of its camera and smartphone B has 4MP resolution of its camera.So , smartphone C is a higher resolution camera than smartphone B. Therefore , the given statement is “false”.e) Given: Smartphone A has more RAM than smartphone B if and only if smartphone B has more RAM than smartphone A. We know that smartphone B has 288MB RAM , which is the most out of the other two phones. So , smart phone B has more RAM than smartphone A. Therefore , the given statement is “false”.

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Chapter 1.1, Problem 6E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Suppose that Smart phone A has 256 MB RAM end 32 GB ROM,