Consider the propositions (x U)(x^2 - 4 = 0) and (x U)(x^2 - 2 =

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Consider the propositions (∃x ∈ U)(x^2 - 4 = 0) and (∃x ∈ U)(x^2 - 2 = 0), where U is some universe of discourse.

(a) Do these propositions have the same truth value if the universe of discourse is the set of real numbers?

(b) Provide an example of a universe of discourse such that the propositions yield different truth values.

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Posted Date: May 26, 2023 06:34 AM

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Consider the propositions (x U)(x^2 - 4 = 0) and (x U)(x^2 - 2 =

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a No the propositions do not have the same truth value if the universe of discourse is the set of re... View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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