Q3 Let U = {5, 6 }, write an equivalent to the following assertions: 3x P ( x ) v - Vx Q ( x ) Q4. Ex. : letU = I, and N (x): " E (x): O (x): P (x): x is a nonnegative integer x is even " ; x is odd " ; x is prime " express the following assertions in logical notation The only even and prime must be two For all numbers, if an integer is not even, then it is odd
Q3 Let U = {5, 6 }, write an equivalent to the following assertions: 3x P ( x ) v - Vx Q ( x ) Q4. Ex. : letU = I, and N (x): " E (x): O (x): P (x): x is a nonnegative integer x is even " ; x is odd " ; x is prime " express the following assertions in logical notation The only even and prime must be two For all numbers, if an integer is not even, then it is odd
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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Transcribed Image Text:Q3 Let U = { 5, 6 }, write an equivalent to the following
assertions:
3x P ( x ) v - Vx Q ( x )
Q4.
Ex. : let U
N (x):
E (x):
O (x):
P (х):
I, and
" x is a nonnegative integer "
x is even " ;
x is odd " ;
x is prime
express the following assertions in logical notation
The only even and prime must be two
For all numbers, if an integer is not even, then it is odd
![Q1.
Let U
N, then express the following assertions in logical
notation_and give a truth value for each of them:
а.
For some x and some y, x / y = y
b.
For all x and all y, x * y = y * x
Q2. Find the negation of the following assertions:
3x3yVz [x+y + z]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f4de7aa-c253-4e88-9f71-94ad71adbdf2%2F1000d4a9-232a-4549-b643-5c36a3d1b669%2Fhqp6x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1.
Let U
N, then express the following assertions in logical
notation_and give a truth value for each of them:
а.
For some x and some y, x / y = y
b.
For all x and all y, x * y = y * x
Q2. Find the negation of the following assertions:
3x3yVz [x+y + z]
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