Consider the following :
1.If R = {(a, b) ∈ N × N : a divides b in N} then the relation R is reflexive and symmetric but not transitive.
2.If A = {1, 2, 3, 4, 5, 6} and R = {(S 1 , S 2 ) : S 1 , S 2 are subsets of A, S 1 
S 2 }, then the relation R is not reflexive, not symmetric and not transitive.
Which of the statements is/are correct ?
Text Solution
Verified by ExpertsB
1. R is not symmetric so it is incorrect.
2. S 1 ≠ S 2 so not reflexive
Let S 1 = {1, 2, 3} & S 2 = {1, 2}
it satisfies the condition
S 1 
S 2 ⇒ S 2 
S 1
So non symmetric.
let S 1 = {1, 2}, S 2 = {4, 5}, S 3 = {1, 2, 3}
as S 1 
S 2 and S 1 
S 3 S 1 S 3
so non transitive.
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