Determine the truth value of each of the following statements. We assume that the domain for all variables consists of all real numbers.

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
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Determine the truth value of each of the following statements. We assume that the
domain for all variables consists of all real numbers.
1. x y (x
2
 = y)
2. x y (x = y
2
 )
3. x y (xy = 0)
4. x y (x + y  y + x)
5. x (x  0  y (xy = 1))
6. x y (y  0  xy = 1)
7. x y (x + y = 1)
8. x y (x + 2y = 2  2x + 4y = 5)
9. x y (x + y = 2  2x - y = 1)
10. x y z (z = (x + y)/2) 

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