For each relation, indicate whether the relation is: \ item Reflexive, anti-reflexive, or neither \ item Symmetric, anti-symmetric, or neither \ item Transitive or not transitive Justify your answer.\\ \begin{enumerate}[label=(\alph*)] \ item The domain of the relation L[is the set of all real numbers. For al y E \Real, xLyif x < y}\ ||| %Enter your answer below this comment line. \ item The domain of the relation Alis the set of all real numbers. x Ayif |x – y| < 2\\|| %Enter your answer below this comment line. \item The domain of the relation Z is the set of all real numbers. xZylif y = 2a|\ |\ \ | | | | | %Enter your answer below this comment line.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 4
For each relation, indicate whether the relation is:
\ item Reflexive, anti-reflexive, or neither
\ item Symmetric, anti-symmetric, or neither
\item Transitive or not transitive
Justify your answer.\\
\begin{enumerate}[label=(\ alph*)1
\item The domain of the relation Lis the set of all real numbers. For æl y E \Real, xLyif x < y.\\\|
%Enter your answer below this comment line.
\item The domain of the relation Alis the set of all real numbers. x Ay if |x – y| < 2\\||
%Enter your answer below this comment line.
\item The domain of the relation Zlis the set of all real numbers. xZyif y = 2x|\ \|| ||||
%Enter your answer below this comment line.
\end{enumerate}
Transcribed Image Text:Problem 4 For each relation, indicate whether the relation is: \ item Reflexive, anti-reflexive, or neither \ item Symmetric, anti-symmetric, or neither \item Transitive or not transitive Justify your answer.\\ \begin{enumerate}[label=(\ alph*)1 \item The domain of the relation Lis the set of all real numbers. For æl y E \Real, xLyif x < y.\\\| %Enter your answer below this comment line. \item The domain of the relation Alis the set of all real numbers. x Ay if |x – y| < 2\\|| %Enter your answer below this comment line. \item The domain of the relation Zlis the set of all real numbers. xZyif y = 2x|\ \|| |||| %Enter your answer below this comment line. \end{enumerate}
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