Question 1208143
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When you list all members of a set, you are using roster notation.
Think of a sports roster that lists all players on a team.


{ Matthew, Mark, Luke, John } is roster notation while { x | x is one of the first 4 books in the New Testament } is set-builder notation.


Set-builder notation describes the basic rule(s) to generate the roster notation.
The rules can be verbal in nature or use some kind of algebra.


An example of set-builder notation would be
{ x | x is a nonnegative even number }
which gives this roster notation
{0, 2, 4, 6, 8, 10, ...}
The triple dots mean "keep this pattern going forever".


You don't need to mention the roster notation since your teacher and/or textbook appears to not be asking for it. However, it would be good practice to do so anyway on a separate scratch piece of paper.


Your set-builder notation answer for question 1 is correct.
Question 2 somehow seems to be mixed up or blended with question 1. But if you're talking about the boroughs of NYC for question 2, then { x | x represents all 5 boroughs of NYC } is the correct set-builder notation for it.
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