 Hello and welcome to the session. Let us discuss the following problem today. Let R be the relation in the set 1, 2, 3, 4 given by R is equal to 1, 2, 2, 1, 1, 4, 4, 1, 3, 3, 3, and 3, 2. Choose the correct answer. R is reflexive and symmetric but not transitive. B, R is reflexive and transitive but not symmetric. C, R is symmetric and transitive but not reflexive and D, R is an equivalence relation. Now let us write our solution. First let us check for reflexivity. As 1, 1 belongs to R for all 1 belongs to set A which is equal to 1, 2, 3, 4, therefore R is reflexive. Now let us check for symmetry. 1, 2 belongs to R but 2, 1 does not belongs to R therefore R is not symmetric. Now let us check for transitivity. For 1, 2 belongs to R and 2, 2 belongs to R we have 1, 2 belongs to R therefore R is transitive. Therefore we can see that R is reflexive, R is not symmetric and R is transitive therefore it satisfies the statement B that is R is reflexive and transitive but not symmetric. Therefore our answer is correct statement is B. I hope you understood this problem. Bye and have a nice day.