1.

Determine whether each of the following relations is reflexive, symmetric and transitive.Relation in the set N of natural numbers defined as R= {(x,y): y = x+5 and x < 4}

Answer»

Solution :R = {(1,6) (2,7) (3,8)}
R is not reflexive because`(1,1)!in R`
R is not symmetric because `(1,6) in` R but `(6,1)!in R`
R is clearly TRANSITIVE because there can.t exist two ordered PAIRS in the FORMS (a,B)and (b,c) in R.


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