What is a well-defined set?
Understand the Problem
The question is asking for an explanation of what constitutes a well-defined set in mathematical terms. It seeks to clarify the criteria that make a set well-defined, which typically refers to a set that can be clearly identified and contains distinct, non-ambiguous elements.
Answer
A set is well-defined if there is no ambiguity as to whether or not an object belongs to it.
The final answer is A set is well-defined if there is no ambiguity as to whether or not an object belongs to it.
Answer for screen readers
The final answer is A set is well-defined if there is no ambiguity as to whether or not an object belongs to it.
More Information
Being well-defined ensures that a set is precisely specified, so there is no confusion about whether an element is part of the set.
Tips
A common mistake is not being clear in the definition, leading to ambiguity in set membership.
Sources
- The web page with info on - Example Source - web.mnstate.edu
- What is a well defined set? - Quora - quora.com
- 3.1: The Basics - Mathematics LibreTexts - math.libretexts.org
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