document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208143>Question 1208143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use set-builder notation to denote the set of the first 4 books in the New Testament.\r<BR>\n" );
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document.write( "Question 1\r<BR>\n" );
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document.write( "Let N = set of the first 4 books in the New Testament\r<BR>\n" );
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document.write( "I say the following:\r<BR>\n" );
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document.write( "N = { x | x is one of the first 4 books in the New Testament }\r<BR>\n" );
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document.write( "N = { Matthew, Mark, Luke, John }\r<BR>\n" );
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document.write( "You say?\r<BR>\n" );
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document.write( "Question 2\r<BR>\n" );
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document.write( "Use set-builder notation to denote the set of the first 4 books in the New Testament.\r<BR>\n" );
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document.write( "Let N = set of all 5 NYC boroughs \r<BR>\n" );
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document.write( "I say the following:\r<BR>\n" );
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document.write( "N = { x | x represents all 5 boroughs of NYC }\r<BR>\n" );
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document.write( "N = { Brookkyn, Bronx, Manhattan, Staten Island, Queens }\r<BR>\n" );
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document.write( "You say? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846342 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "When you list all members of a set, you are using roster notation.<BR>\n" );
document.write( "Think of a sports roster that lists all players on a team.\r<BR>\n" );
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document.write( "{ 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.\r<BR>\n" );
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document.write( "Set-builder notation describes the basic rule(s) to generate the roster notation.<BR>\n" );
document.write( "The rules can be verbal in nature or use some kind of algebra.\r<BR>\n" );
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document.write( "An example of set-builder notation would be<BR>\n" );
document.write( "{ x | x is a nonnegative even number }<BR>\n" );
document.write( "which gives this roster notation<BR>\n" );
document.write( "{0, 2, 4, 6, 8, 10, ...}<BR>\n" );
document.write( "The triple dots mean \"keep this pattern going forever\".\r<BR>\n" );
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document.write( "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.\r<BR>\n" );
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document.write( "Your set-builder notation answer for question 1 is correct.<BR>\n" );
document.write( "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.<BR>\n" );
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