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 re- lations, and cornplernentary relations mientioned before Rosen 9.1 # 11 (p. 581), # 18 (p. 582) and # 26 (p, 582) Let R-(a, a), (b, c), (c, b), (c, d), (d, c), (d, d)], T = {(a, a), (a, b), (b, e), (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. 6. (25 points) Find the following expressions c) (1pt) R S g) (2pt) ToT k) (4pt) Ua d) (1pt) S R h) (2pt) UoT 1) (5pt) RoSoT a) (1pt) RUS e) (1pt) i) (2pt) ToU b) (1pt) RnS f (1pt) S1 j) (4pt) R3