2 Let A Z x Z x y x y element of Z Let R be a relation on

2. Let A = Z x Z = {(x, y) : x, y element of Z}. Let R be a relation on A such that (a, b)R(c, d) if and only if EITHER a

Solution

Let R be a relation on A such that (a,b)R(c,d) iff either a<=c or b<=d

1) let (3,4)R(5,1) is a relation because 3<5

and (5,1)R(2,2) is a relation because 1<2

but (3,4)R(2,2) is not a ralation becaue 3>2 and 4>2

so We can say that R is NOT transtive

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