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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen
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Express each of these statements using predicates,

Chapter 7, Problem 20E

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QUESTION:

Express each of these statements using predicates, quantifiers, logical connectives, and mathematical operators where the domain consists of all integers.a) The product of two negative integers is positive.________________b) The average of two positive integers is positive.________________c) The difference of two negative integers is not necessarily negative.________________d) The absolute value of the sum of two integers does not exceed the sum of the absolute values of these integers.

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QUESTION:

Express each of these statements using predicates, quantifiers, logical connectives, and mathematical operators where the domain consists of all integers.a) The product of two negative integers is positive.________________b) The average of two positive integers is positive.________________c) The difference of two negative integers is not necessarily negative.________________d) The absolute value of the sum of two integers does not exceed the sum of the absolute values of these integers.

ANSWER:

SOLUTIONStep 1We have to express each of these statements using mathematical and logical operators, predicates, and quantifiers, where the domain consists of all integers.

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