Page 17 - Discrete Structure II

R2 is not because (4, 3) is an element of R2 but (3, 4) is not an element of R2

R3, R4, symmetric

R5 is not symmetric because (2, 1) belongs to R5 but (1, 2) is not in R5

R6 is symmetric

Exercise Page 581 # 3

For each of these relations on the set {1, 2, 3, 4}, decide whether it is reflexive,

whether it is symmetric.

a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)}

b) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)}
c) {(2, 4), (4, 2)}
d) {(1, 2), (2, 3), (2, 4)}
e) {(1, 1), (2, 2), (3, 3), (4, 4)}

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