Answer :
None of these options accurately represent the roster method of the set of prime numbers between 80 and 100. The correct roster method for the set of prime numbers between 80 and 100 is: {83, 89, 97}.
The roster method is used to list all the elements in a set. In this case, we need to identify the prime numbers between 80 and 100. Prime numbers are numbers greater than 1 that are only divisible by 1 and themselves.
Between 80 and 100, the prime numbers are 83, 89, and 97. These numbers meet the criteria of being greater than 1 and having no divisors other than 1 and themselves.
The option {83, 89, 91, 93, 97} includes numbers like 91 and 93, which are not prime since they have divisors other than 1 and themselves.
The option {83, 89, 93, 97} also includes 93, which is not prime.
The option {83, 87, 89, 91, 93, 97} includes 87, which is not prime.
Thus, the correct roster method for the set of prime numbers between 80 and 100 is: {83, 89, 97}.
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