8. odd. Let V = {1,2,3,4,5}. A binary relation p is defined on V : (x, y) = p means x + y is (a) Draw the graph G associated with p. (b) Is G connected? (c) Find the degree of each vertex.

Does the relation is a friend of have a reflexive property consider one person? A symmetric property consider two people? A transitive property consider three people?

Let B = {1,2, 3, 4, 5}. A binary relation S on the set B is given by the digraph (1 Find the symmetric closure of the relation S ? Select one: O a. ={(1.2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.4).(3.5).(4.2).(4.3).(4.4).(5.1).(5.2).(5,3)}. O b. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2,4).(2.5).(3.3).(3,4).(3,5).(4,2).(4.3).(4,4).(5,1).(5,2).(5,5).(1,4), (1.3),(2.3).(3.2).(3.1).(4,1).(5,4)}. Oc. ={(1,1)(1,2).(1,5).(2.2).(2.4).(2.5).(3.3).(3,4).(4.2).(4,4).(5.3).(5,5)}. O d. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3,4).(3,5).(4.2).(4,3).(4,4).(5,1).(5.2).(5.5).(1,4), (1,3).(2.3).(3,1).(4,5).(4,1).(5,4)}. O e. ={(1,1)(1,2).(1,5).(2.1).(2.2).(2.4).(2.5).(3.3).(3.4).(3.5).(4,2).(4,3).(4,4).(5.1).(5.2).(5,3).(5,5), (1,4).(1.3).(2.3).(3.2).(3.1),(4,5).(4.1).(5,4)}.

Consider the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}. i. List all the ordered pairs in the relation R ii. Represent this relation graphically. iii. Represent this relation in a matrix form