document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915888>Question 915888</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having difficulty writing set builder notations.<BR>\n" );
document.write( " {0,3,6,9,12}<BR>\n" );
document.write( "{-3,-2,-1,0,1,2,3}<BR>\n" );
document.write( "{m,n,o,p}\r<BR>\n" );
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document.write( "How would I write something like:<BR>\n" );
document.write( "x where x is a positive multiple of 3 less than 15?<BR>\n" );
document.write( "{ x | x =  ???? do I just write out the words or does it have to be an equation?<BR>\n" );
document.write( "{ x | x = whole numbers greater than -4 and less than 4<BR>\n" );
document.write( "{ x| I have no idea how to do one with letters :-( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555814 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are several ways to write the sets formally. Here are examples:\r<BR>\n" );
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document.write( "{0,3,6,9,12} = <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \{x: \, x \equiv 0 \pmod{3}, 0 \le x \le 12 \} \"> (<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large x \equiv 0 \pmod 3\"> means that x leaves a remainder of zero when divided by 3). An alternate way is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \{x : \, x = 3k, k \in \{0,1,2,3,4 \} \}\">.\r<BR>\n" );
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document.write( "{-3,-2,-1,0,1,2,3} can be written as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \{x: \, x \in \mathbb{Z}, |x| \le 3 \}\"> (all x such that x is an integer and |x| is less than or equal to 3)\r<BR>\n" );
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document.write( "{m,n,o,p} I don't really know of a nice way to state this in set-builder notation, other than <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \{ x: \, x \in \{m, n, o, p \} \}\"> which is correct but doesn't make much sense since it is much longer than writing {m,n,o,p}.\r<BR>\n" );
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