Question

Asked Aug 13, 2019

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I need help for number 7. Thanks!

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Step 1

(a)

Let

Step 2

Then by definition, either *x* belongs to *U* or *x* belongs to *V*.

Assume that *x* belongs to *U*,

Since, *U* is open, there is some *r* > 0 so that the open ball,

Step 3

Thus, union of two open subsets...

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