Which of the following is a negation for "All dogs are loyal"? (Select all that apply.) All dogs are disloyal. No dogs are loyal. Some dogs are disloyal. Some dogs are loyal. O There is a disloyal animal that is not a dog. There is a dog that is disloyal. No animals that are not dogs are loyal. Some animals that are not dogs are loyal.

Which of the following is a negation for "All dogs are loyal"? (Select all that apply.) All dogs are disloyal. No dogs are loyal. Some dogs are disloyal. Some dogs are loyal. O There is a disloyal animal that is not a dog. There is a dog that is disloyal. No animals that are not dogs are loyal. Some animals that are not dogs are loyal.

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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Question

**Which of the following is a negation for "All dogs are loyal"? (Select all that apply.)**

- [ ] All dogs are disloyal.
- [ ] No dogs are loyal.
- [x] Some dogs are disloyal.
- [ ] Some dogs are loyal.
- [ ] There is a disloyal animal that is not a dog.
- [x] There is a dog that is disloyal.
- [ ] No animals that are not dogs are loyal.
- [ ] Some animals that are not dogs are loyal.

**Explanation:**

The negation of "All dogs are loyal" is expressed by showing that there is at least one exception. Therefore, "Some dogs are disloyal" or "There is a dog that is disloyal" are correct negations.

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