document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829376>Question 829376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 0 < a < b, show that 1/b < 1/a. Is the restriction that a is positive necessary? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499928 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=499928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 0 < a < b, show that 1/b < 1/a. Is the restriction that a is positive necessary?<BR>\n" );
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document.write( "Consider: a < b<BR>\n" );
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document.write( "Divide thru by ab to get:<BR>\n" );
document.write( "1/b < 1/a<BR>\n" );
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document.write( "The latter operation is true if a and b are positive<BR>\n" );
document.write( "or if a and b are both negative.<BR>\n" );
document.write( "Why?:: <BR>\n" );
document.write( "Ans: Because ab will, in either case, be positive.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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