Consider the relations R,S,T,U on the set {a,b,c,d}. Use the definitions and properties discussed in class and chapter 9.1 and the properties or operations of irreflexive, asymmetric, inverse relations, and complementary relations mentioned before Rosen 9.1 \# 11 (p. 608), \# 18 (p. 609), and \# 26 (p, 609). Let R={(a,a),(b,c),(c,b),(c,d),(d,c),(d,d)}, S={(a,a),(a,d),(b,a),(b,b),(b,d),(c,a),(c,c),(d,c),(d,d)}, T={(a,a),(a,b),(b,c),(b,d),(c,d),(d,a),(d,b)}, and U={(a,a),(a,d),(b,c),(b,d),(c,a),(d,d)} 5. (6 points) Determine (Yes/No) whether R and S have each of the following properties: reflexive, irreflexive, symmetric, antisymmetric, asymmetric, and transitive