document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015790>Question 1015790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If b is a positive number and a < b (recall that this is another <BR>\n" );
document.write( "way of saying b-a>0), show that a/b < (a+1)/(b+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632162 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb+%3C+%28a%2B1%29%2F%28b%2B1%29 ALIGN=MIDDLE  ALT=\"a%2Fb+%3C+%28a%2B1%29%2F%28b%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let us cross-multiply and get<BR>\n" );
document.write( "a(b+1) < b(a+1)<BR>\n" );
document.write( "ab + a < ab + b<BR>\n" );
document.write( "Subtract off ab and get<BR>\n" );
document.write( "a < b <BR>\n" );
document.write( "which is what you supposed to be true to begin with... </SPAN>\n" );
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