Let A = {1,2,3} and R and S be two relations defined on A as...
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Let A = {1,2,3} and R and S be two relations defined on A as follows:R = {(1,3), (3,2), (2,3), (3,3), (1,2)}S = {(1,1), (2,2), (1,3), (2,1), (3,1), (1,2)}Which of the following statements are correct?I. R is transitive but S is not transitive.II. R is not symmetric but S is symmetric.III. Neither R nor S is antisymmetric.IV. R U S is reflexive.V. S - R is antisymmetric.(A) II, III, IV and V(B) I, II, III, IV and V(C) I and III(D) IV and V
Let A = {1,2,3} and R and S be two relations defined on A as follows:R = {(1,3), (3,2), (2,3), (3,3), (1,2)}S = {(1,1), (2,2), (1,3), (2,1), (3,1), (1,2)}Which of the following statements are correct?I. R is transitive but S is not transitive.II. R is not symmetric but S is symmetric.III. Neither R nor S is antisymmetric.IV. R U S is reflexive.V. S - R is antisymmetric.(A) II, III, IV and V(B) I, II, III, IV and V(C) I and III(D) IV and V
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