Let R = 1 , 3 , 4 , 2 , 2 , 4 , 2 , 3 , ( 3 , 1 ) be a relation on the set A = 1, 2 , 3, 4 . The relation R is

Question

Let R = 1 , 3 , 4 , 2 , 2 , 4 , 2 , 3 , ( 3 , 1 ) be a relation on the set A = 1, 2 , 3, 4 . The relation R is, Reflexive, Transitive, Not symmetric, A function

MARKS App · Accepted Answer

Clearly, ( 1 , 1 ) , ( 2 , 2 ) , ( 3 , 3 ) , ( 4 , 4 ) are not in R . So, it is not reflexive We observe that 2,3 ∈ R but 3 , 2 ∉ R , so it is not symmetric. Clearly, 1,3 ∈ R and 3,1 ∈ R , but 1,1 ∉ R . So, it is not transitive. Since, 2,4 and 2,3 are in R . So, it is not a function.

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