MAD $3105$ Assignment $01$ NAME:$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Relations and Their Properties DUE: Thursday, January $18$th $(11$:$59$pm EST$)$

Directions: See Canvas. Scan this page to the front of your work.

$(1)(2$ points$/3$ points$/3$ points$/2$ points$)$

For the relation $=\{(1,1),(1,3),(1,4),(2,3),(2,4),(3,1),(3,3),(3,4),(4,1)\}$ on

the set $=\{1,2,3,4\},$

$($a$)$ List all elements that are missing from the relation in order for $$ to satisfy the

stated property: $($i$)$ reflexive $($ii$)$ symmetric $($i