Solved: Find the truth set of each of these predicates

Chapter 1, Problem 44E

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QUESTION:

Find the truth set of each of these predicates where the domain is the set of integers.a) P(x): x3 1________________b) Q (x): x2 = 2________________c) R(x): x< x2

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QUESTION:

Find the truth set of each of these predicates where the domain is the set of integers.a) P(x): x3 1________________b) Q (x): x2 = 2________________c) R(x): x< x2

ANSWER:

SolutionStep 1(a)According to the statement, a cube of a number is greater than equal to 1.Hence, the truth set be {x N | x3 1 } where the domain is a set of {1 , 2, 3, 4, ….}.

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