$($b$)$

Is

R$5$

reflexive? Justify your answer.

No

$,$ because

$2,$

$?$

$?$

R$5.$

$($c$)$

Is

R$5$

symmetric? Justify your answer.

$---$Select$---$

$,$ because

$?$

$,1$

in R$5$

and

$1,$

$?$

$?$

R$5.$

$($d$)$

Is

R$5$

transitive? Justify your answer.

$---$Select$---$

$,$ because

$---$Select$---$

m$,$ n$,$ and p in A$,$ if

$($m$,$ n$)$

$?$

R$5$

and

n$,$

$?$

$?$

R$5,$

then

$?$

$,$

$?$

$?$

R$5.$