In each of the following, a distance is defined on the set R of real numbers

Chapter 16, Problem 16.1

(choose chapter or problem)

In each of the following, a distance is defined on the set R of real numbers. Determinewhich of the four properties of a metric space are satisfied by d. Verify your answers.(a) d(x, y) = y x (b) d(x, y)=(x y)+(y x)(c) d(x, y) = |x y| + |y x| (d) d(x, y) = x2 + y2(e) d(x, y) = |x2 y2| (f) d(x, y) = |x3 y3|

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