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# Solved: Translate each of these quantifications into ISBN: 9780073383095 37

## Solution for problem 42E Chapter 2.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 42E

Translate each of these quantifications into English and determine its truth value.a) ?x?R (x3 = –1)________________b) ?x?Z (x + 1 > x)________________c) ?x?Z (x – 1 ? Z)________________d) ?x?Z (x2 ? Z)

Step-by-Step Solution:

Solution:Step 1:In this question, we have to translate each of these quantifications into English and determine its truth value.Step 2:Given Expression is: xR (x3 = –1)R There exists real number x such that x3 = -1There exists real number x, whose cube of real number is equal to -1Then, The Truth value of given expression is T. Cube of real number x is equal to -1.Step 3:Given Expression is xZ (x + 1 > x)Z Integer numberThere exists an integer number x, such that x+1 > x.So, The Truth value of given expression is T, Because for every integer number x, such that x+1>x (x+1 is always greater than x).

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##### ISBN: 9780073383095

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