a. Consider d on R, the real line, to be d(x,y) =
|x2 – y2|. Show...
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a. Consider d on R, the real line, to be d(x,y) =|x2 – y2|. Show that d is NOT a metric on R.  b.Consider d on R, the real line, to be d(x,y) =|x3 – y3|. Show that d is a metric on R.
  2. Let d on R be d(x,y) = |x-y|. The “usualâ€distance. Show the interval (-2,7) is an open set.
Note: you must show that any point zin the interval has a ball centered at z, and that ball iscompletely contained within the interval (-2,7).
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