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Find a common domain for the variables x, y, and z for
Chapter 7, Problem 34E(choose chapter or problem)
Find a common domain for the variables \(x, y\), and \(z\) for which the statement \(\forall x \forall y((x \neq y) \rightarrow \forall z((z=x) \vee(z=y)))\) is true and another domain for which it is false.
Equation Transcription:
Text Transcription:
x, y
z
\forall x \forall y((x \neq y) \rightarrow \forall z((z=x) \vee(z=y)))
Questions & Answers
QUESTION:
Find a common domain for the variables \(x, y\), and \(z\) for which the statement \(\forall x \forall y((x \neq y) \rightarrow \forall z((z=x) \vee(z=y)))\) is true and another domain for which it is false.
Equation Transcription:
Text Transcription:
x, y
z
\forall x \forall y((x \neq y) \rightarrow \forall z((z=x) \vee(z=y)))
ANSWER:
Solution:
Step 1
In this problem we need to find the common domain for the variables x,y and z for which the statement is true and the domain for which it is false.