document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151485>Question 151485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please solve and show your work for me<BR>\n" );
document.write( "3/x < 2/x+1<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111364 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=111364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3/x < 2/x+1<BR>\n" );
document.write( "2x<3(x+1)<BR>\n" );
document.write( "2x<3x+3<BR>\n" );
document.write( "2x-3x<3<BR>\n" );
document.write( "-x<3<BR>\n" );
document.write( "x>-3 (the sign changes from < to > when dividing by a negative number.<BR>\n" );
document.write( "proof:<BR>\n" );
document.write( "let x=-3.1<BR>\n" );
document.write( "3/-3.1<2/(-3.1+1)<BR>\n" );
document.write( "-.96774<2/-2.1<BR>\n" );
document.write( "-.96774<-.9524\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );