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  3. a. consider d on r, the real line, to be d(x,y) =

a. Consider d on R, the real line, to be d(x,y) = |x2 – y2|. Show...

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Advance Math

  1. 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 “usual”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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