Question $5[0\mathrm{.}5$ mark$]$ Let parent be a relation such that $($x$,$ y$$ in parent$)$ iff $($x is the parent of y$).$ Let child be a relation such that $($x$,$ y$$ in child$)$ iff $($x is the child of y$).$ The relation ancestor is a relation where $($x$,$ y$$ in ancestor$)$ iff $($x is an ancestor of y$).$ Give the symmetric closure, s$($parent$),$ of the relation parent. $$ Give the transitive closure, parent$+,$ of the relation parent. $$ Give the reflexive transitive closure, parent$,$ of the relation parent