Let P(x,y) be the statement “x and y work at the same company” and Q(x,y) be the statement “x and y uses the same programming language”. Which of the following sentences expressses ∀x∃y((x≠y)∧P(x,y)∧Q(x,y))? 1. For all companies, there exist two employees who uses the same language. 2. For all employees using the same languages, there exist another employee who work at his company. 3. For all employees of all companies, there exist another employee who uses the same language. 4. For all employees, there exist another employee in the same company who uses the same language.

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
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Let P(x,y) be the statement “x and y work at the same company” and Q(x,y) be the statement “x and y uses the same programming language”. Which of the following sentences expressses ∀x∃y((x≠y)∧P(x,y)∧Q(x,y))?

1. For all companies, there exist two employees who uses the same language.
2. For all employees using the same languages, there exist another employee who work at his company.
3. For all employees of all companies, there exist another employee who uses the same language.
4. For all employees, there exist another employee in the same company who uses the same language.
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