Question

chapter 1 quiz
score: 30/100 answered: 5/15
question 6
true or false: ( l = { x mid x ) is a large number ( } ) is well - defined.
true
false
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Explanation:

A well - defined set requires that for any given object, we can clearly determine whether it belongs to the set or not. The term "large number" is subjective. What one person considers a large number may not be the same as what another person considers a large number. For example, a child might think 100 is a large number, while a mathematician working with very large quantities (like in number theory with extremely large primes) might not consider 100 to be a large number. Since there is no objective criterion to determine if a number is "large", the set \(L=\{x\mid x\text{ is a large number}\}\) is not well - defined.

Answer:

False