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

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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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
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]
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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