In the metric space (R, d), where d(x, y) =

Chapter 16, Problem 16.10

(choose chapter or problem)

In the metric space (R, d), where d(x, y) = |x y|, determine which of the following setsare open, closed, or neither and verify your answers.(a) (0, 1] (b) [0, 1] (c) (, 1](d) (0,) (e) (0, 2) {1} (f) Q(g) I (h) { 1n | n N} (i) { 1n | n N}{0}