What is a well-defined set?
Understand the Problem
The question is asking about the concept of a well-defined set, which involves understanding what constitutes a set that is clearly and unambiguously specified.
Answer
A well-defined set has no ambiguity about its membership.
A well-defined set is one where it is clear whether any given object is an element of the set or not.
Answer for screen readers
A well-defined set is one where it is clear whether any given object is an element of the set or not.
More Information
A well-defined set ensures there is no confusion about what belongs in the set. For example, the set of primary colors is well-defined because red, blue, and yellow are clearly primary colors.
Tips
A common mistake is to include subjective or vague criteria, which can lead to ambiguity regarding membership in the set.
Sources
- What is a well defined set? - Quora - quora.com
- 3.1: The Basics - Mathematics LibreTexts - math.libretexts.org
- Well Defined Vs Not Well Defined Sets - YouTube - youtube.com
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