Question $5$ Suppose that $S=\{a,b,c,d,e\}$ and $R$ is a relation

on $S$ such that aRb,$bRc,$ and dRe. List all of the

following that must be true if $R$ is $($a$)$ reflexive $($but

not symmetric or transitive$),($b$)$ symmetric $($but not

reflexive or transitive$),($c$)$ transitive $($but not reflex$-$

ive or symmetric$),$ and $($d$)$ an equivalence relation.

$cRb,cRc,$aRc,bRa

aRd e Ra eRd cRa