Question

Given A = {1,2,3,4,5,6,7) and relations:
R1 = {(1,1),(2,2),(1,2),(2,3),(3,2),(3,3),(4,4),(5,5),(7,6),(6.7), (6,6),(2,1),(7,7)}
R2 = {(1,2),(2,3),(1,3),(1,4),(2,4)}
R3 = {(1,4),(2,5),(3,7),(6,6)}
R4 = {(2,4),(4,2),(4,6),(2,6),(6,4),(6,2),(2,2),(4,4),(6,6)}

Determine which of the given relations from set A to itself is/are Transitive

Answer 1

Answer:

modulus function

(1) _ 1

(2) _ 2

(0) _0

(_1_1

(_3) _3