document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871474>Question 871474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me?<BR>\n" );
document.write( "how many sets of three consecutive positive even integers are there such that three times the sum of the first two integers is less than five times the third integer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525613 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=525613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x, x+2, x+4 be our three consecutive positive even integers, then<BR>\n" );
document.write( "3(x + x+2) < 5(x+4)<BR>\n" );
document.write( "6x+2 < 5x +20<BR>\n" );
document.write( "x < 18<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "2 4 6<BR>\n" );
document.write( "4 6 8<BR>\n" );
document.write( "6 8 10<BR>\n" );
document.write( "8 10 12<BR>\n" );
document.write( "10 12 14<BR>\n" );
document.write( "12 14 16\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );