Find a domain for the quantifiers in such that this

Chapter 1, Problem 23E

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QUESTION:

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)

Questions & Answers

QUESTION:

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)

ANSWER:

Solution:

Step 1 :

we have to find a domain for a quantifiers in

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