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A ={1,2,3,4,5,6} On A, R be a relation given by R = {(1,2),(2,1),(1,1)}. Check whether R is symmetric or transitive |
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Answer» R is symmetric but not TRANSITIVE (1,2) BELONGS to R (2,1) belongs to R ; i.e, (a,b) belongs to R and (b,a) also belongs to R Therefore, R is symmetric RELATION(1,2) belongs to R(2,1) belongs to R(1,1) belongs to R ; i.e, (a,b) belongs to R and (b,a) belongs to R but (b,c) doesn't belongs to R. Therefore, R is not a transitive relation. |
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