Define the following relations on A$=\{1,4,5,7\}.$ Answer each of the following questions by listing the index of the relation. For example, for Part $1),$ if R$1$ and R$2$ are reflexive, simply enter $1,2$ as the answer.R$0=\{(1,5),(4,5),(4,1),(4,4),(4,7),(1,7)\}$R$1=\{(5,5),(4,4),(7,1),(1,7),(7,7),(1,1)\}$R$2=\{(1,5),(7,5),(5,1),(5,7),(4,7),(4,4),(7,4)\}$R$3=\{(4,4),(1,1),(7,7),(5,5)\}$R$4=\{(7,4),(5,1),(1,1),(5,7),(5,5),(4,4)\}1)$ Which relations are reflexive? $2)$ Which relations are symmetric? $3)$ Which relations are anti$-$symmetric? $4)$ Which relations are transitive?