Consider a set = {1,2,3,4} Decide for each relation whether these are Reflexive, Irreflexive, Symmetric, Anti-symmetric, Asymmetric and Transitive:

() 1 = {(1,1), (1,2), (1,3), (2,2), (3,3), (4,4)}

() 2 = {(1,1), (1,2), (2,1), (3,3)}

() 3 = {(1,1), (1,2), (2,1), (2,2), (3,3), (4,4)}

() 4 = {(1,2), (2,3), (3,4)}

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

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

() 7 =

() 8 =

() 9 = {(1,2), (1,3), (2,3)}

() 10 = {(1,3), (3,2), (1,4)}