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Determine whether each of the following relations is reflexive, symmetric and transitive.Relation R in the set A = {1,2,,3,…,13,14} defined as R= {(x,y) : 3x -y = 0} |
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Answer» SOLUTION :R = {(1,3) (2,6) (3,9)(4,12)} R is not REFLEXIVE because` (1,1)!in R` R is not SYMMETRIC because `(1,3) in` R but `(3,1)!in R` R is not TRANSITIVE because `(1,3) in R `and `(3,9) in R`but `(1,9) !in R`. |
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