Why is this the case: Recall that for x,yER, | x-y|E Rot, is the absoulate value of x-y. That is, 1x-y = {x-y Define the binary -(x-y). If x-y 20 If. х-ухо х-усо relation R on F xRy if |x-y| < 1 How can I proof transistixtx . R as follows: why is that, if x>y or y>x it will not be <1 can you explain with examples? Why not antisytric? Let, x, y be two element in R 1x-y1 <1, then | y-x1 <1. So, XRyYRX and thus R is Symmetric relation and not an relation. such that a antisymmetrik

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