Question 1208143: Use set-builder notation to denote the set of the first 4 books in the New Testament.
Question 1
Let N = set of the first 4 books in the New Testament
I say the following:
N = { x | x is one of the first 4 books in the New Testament }
N = { Matthew, Mark, Luke, John }
You say?
Question 2
Use set-builder notation to denote the set of the first 4 books in the New Testament.
Let N = set of all 5 NYC boroughs
I say the following:
N = { x | x represents all 5 boroughs of NYC }
N = { Brookkyn, Bronx, Manhattan, Staten Island, Queens }
You say?
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52780)   (Show Source):
You can put this solution on YOUR website! .
(Q1) Your answer is correct.
(Q2) Your first line in Q2 does not correspond to the rest in Q2.
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Comment from student: Question 2 Use set-builder notation to denote the set of 5 NYC boroughs.
Let N = set of all 5 NYC boroughs I say the following: N = { x | x represents all 5 boroughs of NYC }
N = { Brookkyn, Bronx, Manhattan, Staten Island, Queens } You say?
My response: Brookkyn (as written in your post) is INCORRECT.
The correct writing is  , with no any other versions/options/modifications/distortions/falsifications.
Answer by math_tutor2020(3816)  (Show Source):
You can put this solution on YOUR website!
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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