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Find a domain for the quantifiers in such that this

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 23E Chapter 1.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 23E

Find a domain for the quantifiers in \(\exists x \exists y(x \neq y \wedge\) \(\forall z((z=x) \vee(z=y)))\) such that this statement is false.

Equation Transcription:

Text Transcription:

Neg (p right arrow (q  wedge  r))  

P vee q  

Neg r  

(p wedge r) vee (q right arrow p)

Step-by-Step Solution:

Solution:

Step 1 :

we have to find a domain for a quantifiers in

this means there exist x and there exist y and also shows that x is not equal to y

and  for all z obeys z is either equal to x or equal to y.

.’. The domains are

 x=all add numbers

 y=all even number and

 z=real number or natural number.

   

Step 2 of 1

Chapter 1.SE, Problem 23E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Find a domain for the quantifiers in such that this