Answer to Question #29367 in Real Analysis for Neil Hutton

Question #29367
I was wondering if you would be able to give me a solution or hint on the following problem:

Let D be a non-empty subset of the real numbers, and E={ax, x in D} where a>0. Prove that E is open if and only if D is open.

Any help would be greatly appreciated. Thank you
1
Expert's answer
2013-05-08T11:07:24-0400
The answer to the question is available in the PDF file https://www.assignmentexpert.com/https://www.assignmentexpert.com/homework-answers/mathematics-answer-29367.pdf

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