Inequalities to Describe Sets of PointsWrite

Chapter 12, Problem 40E

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Problem 40E

Inequalities to Describe Sets of Points

Write inequalities to describe the sets in Exercise.

The closed region bounded by the spheres of radius 1 and radius 2 centered at the origin. (Closed means the spheres are to be included. Had we wanted the spheres left out, we would have asked for the open region bounded by the spheres. This is analogous to the way we use closed and open to describe intervals: closed means endpoints included, open means endpoints left out. Closed sets include boundaries; open sets leave them out.)

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