Question

4. If A = (1, 2, 3, 4). Let ~= {(1, 2), (1,3), (4,2)}. Then ~ is
A. not anti-symmetric
B. transitive
C. reflexive
D. symmetric
mpty ?​

Answer 1

Answer:

transitive.........

Answer 2

B) transitive

a relation is called transitive if it contains elements as

R = { ( a,b), (b,c), (a,c)

and satisfy the condition in such a way that if

(a,b)€R and (b,c)€R then (a,c) must be present in the relation

in the question ~= {(1, 2), (1,3), (4,2)}

(1,3)€ ~, ( 4,2) € ~ and to become transitive, (1,2) much be there in the relation, and ~ do contain (1,2)

therefore, we can say that ~ is transitive.