document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13350>Question 13350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the sets of three consecutive even integers whose sum is between 25 and 45. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6711 by </B><A HREF=/tutors/aboutme.mpl?userid=bam878s><B>bam878s(77)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bam878s><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=6711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we want 25<sum<45.<BR>\n" );
document.write( "Now sum = x + (x+2) + (x+4)<BR>\n" );
document.write( "        = x+x+2+x+4<BR>\n" );
document.write( "        = 3x + 6<BR>\n" );
document.write( "we have:<BR>\n" );
document.write( "25<3x+6<45 subtract 6 from all sides<BR>\n" );
document.write( "25-6<3x<45-6<BR>\n" );
document.write( "19<3x<39 divide 3 from all sides<BR>\n" );
document.write( "6.333333<x<13<BR>\n" );
document.write( "so,<BR>\n" );
document.write( "7<=x<13 would be the set of all integers but since we are dealing with evens 8<=x<=12 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );