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Determine whether each of the following ...

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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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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A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
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