Find a counterexample, if possible, to these universally quantified statements, where the domain for all variables consists

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Find a counterexample, if possible, to these universally quantified statements, where the domain for all variables consists of all integers.
a) ∀x∀y(x2 = y2 → x = y)
b) ∀x∃y(y2 = x)
c) ∀x∀y(xy ≥ x)

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:13 PM

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Find a counterexample, if possible, to these universally quantified statements, where the domain for all variables consists

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a Since the square of a number and its additive inverse are the same we have many counterexamp...View the full answer

Discrete Mathematics and Its Applications

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