Use quantifiers to symbolize the following statements. Let the universe be the set of all things, and use the following propositional functions (all are predicates, not relations): D(x) = x is a dog; M(x) = x is miserable; R(x) = x is ridden with fleas; E(x) = x is exercised; N(x) = x is neglected; W(x) = x is well treated. Some dogs are miserable if they are ridden with fleas.Not all miserable dogs are ridden with fleas.Dogs that are not exercised are neglected and not well treated.No dog that is well treated is neglected.Only well-treated dogs are not neglected.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Use quantifiers to symbolize the following statements. Let the universe be the set of all things, and use the following propositional functions (all are predicates, not relations): D(x) = x is a dog; M(x) = x is miserable; R(x) = x is ridden with fleas; E(x) = x is exercised; N(x) = x is neglected; W(x) = x is well treated.

Some dogs are miserable if they are ridden with fleas.

Not all miserable dogs are ridden with fleas.

Dogs that are not exercised are neglected and not well treated.

No dog that is well treated is neglected.

Only well-treated dogs are not neglected.

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