For each of the following sets, determine their interior, boundary, and closure. You do not have

Question

Sri K · Accepted Answer

First, determine the interior of S1: it is [1,2) U (3,4) U (4,0) € R.

For each of the following sets, determine their interior, boundary, and closure. You do not have to justify your answer. (a) S1 = [1, 2) ? (3, 4) ? (4, ?) ? ?. (b) S2 = {(x, y) ? ?^2 : y = x and y ? 0}. (c) S3 = {(x, y, z) ? ?^3 : x^2 + y^2 + z^2 < 1} - {(0, 0, 0)}.