A relation R is defined on the set R of real numbers by x R y if x y 0, that is, x R y

Chapter 5, Problem 9

(choose chapter or problem)

A relation R is defined on the set R of real numbers by x R y if x y 0, that is, x R y if the point (x, y) in the plane lies on or to the right of the line y = x. (a) Give an example of two real numbers a and b such that a R b and two real numbers c and d such that c 6R d. (b) Which of the properties reflexive, symmetric and transitive does R possess?

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