document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260233>Question 260233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Looking for a Proof to the theorem that given x>c, then 1/x < 1/c for any Real numbers x and c.\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Gary </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191647 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let's start out with the opposite<BR>\n" );
document.write( "1/x>1/c<BR>\n" );
document.write( "multiply both sides by x<BR>\n" );
document.write( "1>x/c<BR>\n" );
document.write( "multiply both sides by c<BR>\n" );
document.write( "c>x<BR>\n" );
document.write( " but that can't be since we are given that x>c<BR>\n" );
document.write( "so the assumption that 1/x>1/c must be wrong there fore 1/x<=1/c<BR>\n" );
document.write( "so now we have to show that 1/x can't be equal to 1/c<BR>\n" );
document.write( "1/x=1/c<BR>\n" );
document.write( "1=x/c<BR>\n" );
document.write( "c=x <BR>\n" );
document.write( "but that can't be either since we are given that x>c<BR>\n" );
document.write( "so 1/x<1/c\r<BR>\n" );
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document.write( " </SPAN>\n" );
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