Let the domain be the set of all positive integers: {1, 2, 3, ...}. Are the following expressions true or talse? 1. VxVy(x + y = y + x) v 2. Vx(x2 – x > 0) ? v 3. Ex(x +1 = 0) 4. Ex3y(x # y) (x * y = 1) ? v 5. Vx3y(x? = y) %3D v 6. axay((x? = y² ) ^ (x # y))

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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Let the domain be the set of all positive integers: {1,2, 3,...}. Are the following expressions true or false?
?
1. VxVy(x + y = y+x)
2. Vx(x? – x > 0)
?
3. Ex(x+1 = 0)
4. Ex3y(x + y) A (x * y = 1)
?
v 5. Vx3y(x2 = y)
?
v 6. Ix3y((x = y²) ^ (x # y))
>
Transcribed Image Text:Let the domain be the set of all positive integers: {1,2, 3,...}. Are the following expressions true or false? ? 1. VxVy(x + y = y+x) 2. Vx(x? – x > 0) ? 3. Ex(x+1 = 0) 4. Ex3y(x + y) A (x * y = 1) ? v 5. Vx3y(x2 = y) ? v 6. Ix3y((x = y²) ^ (x # y)) >
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