6. Consider the relation R = {(a,b), (a,c), (c,b), (b,c)} on the set A= (a,b,c,), Which of the properties reflexive, symmetric, and transitive does R possess and why? If the property does not hold, say why?

7. Let R be the following equivalence relation on the set A = (1, 2, 3, 4, 5, 6),

R= { (1,1) ,(1,5), (2,2), (2,3), (2,6), (3,2),(3,3,) (3,6),(4,4),(5,1),(5,5),(6,2),(6,3),(6,6)}

Find the equivalence classes of R, S/R, and the system of representatives of the equivalent classes.