Question

Is the set {x| x is a difficult class} well defined? (Hint: the answer has nothing to do with the word “specific”; also enough information is given).

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78 Answers

1. Analyze the definition of a well-defined set.

2. Determine whether the phrase "difficult class" provides a clear and objective criterion.

3. Conclude that the term "difficult" is subjective and can vary from person to person, thus the set is not well defined.

\{x \mid x \text{ is a difficult class}\} \text{ is not well defined.}

2. Determine whether the phrase "difficult class" provides a clear and objective criterion.

3. Conclude that the term "difficult" is subjective and can vary from person to person, thus the set is not well defined.

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