Let R be the relation in the set {1,2,3,4} given by R={(1,2),(2,2),(1,1),(4,4), (1,3),(3,3),(3,2)...

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Let R be the relation in the set {1,2,3,4} given by R={(1,2),(2,2),(1,1),(4,4), (1,3),(3,3),(3,2)}. Choose the correct answer.
(A) 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.
(D) R is an equivalence relation.
R={(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)}
(1,1),(2,2),(3,3),(4,4) ∈ R
i.e. R is meflexive.
Symmetric:
(1,2) ∈ R, (2,1) ∉ R i'e. R is not symmetric
Vsicsa atromitive! (1,2) ∈ R 4(2,2) ∈ R ⇒(1,2) ∈ R
(1,1) ∈ R &(1,2) ∈ R ⇒(1,2) ∈ R

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