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Question
determine if the collection is not well defined and therefore not a set
the collection of integers less than one million
choose the correct answer below.
a. the collection is well defined and is therefore a set because the contents of the collection cannot be clearly determined.
b. the collection is not well defined and is therefore not a set because the contents of the collection can be clearly determined.
c. the collection is well defined and is therefore a set because the contents of the collection can be clearly determined.
d. the collection is not well defined and is therefore not a set because the contents of the collection cannot be clearly determined.
A well-defined collection has clear, unambiguous criteria to determine membership. For "integers less than one million," we can definitively say any integer that is less than 1,000,000 belongs to the collection, with no ambiguity. This means the collection is well-defined and qualifies as a set.
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C. The collection is well defined and is therefore a set because the contents of the collection can be clearly determined.