document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175445>Question 175445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given:1 over X is less than or equal to 1  for 1,2 and 3\r<BR>\n" );
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document.write( "Conjecture: 1 over X is greater than or equal to 1  for all reals.\r<BR>\n" );
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document.write( "I already know that the conjecture is false but my teacher didnt like my reasoning for it. I said that 1,2 and 3 are all reals but not every number will work in this problem such as an integer that is negative or an irrational number.  If I said something wrong please correct me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130525 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=130525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> actually the conjecture is correct for all Real x's except for<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cx%3C1 ALIGN=MIDDLE  ALT=\"0%3Cx%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  such as 1/10 or 1/2....etc\r<BR>\n" );
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document.write( "once you show one example of your conjecture not working it is false.<BR>\n" );
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document.write( "your example of (integer that is negative or an irrational number) does not negate the conjecture because it is still true with those values.\r<BR>\n" );
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document.write( "example 1/-5 is less than 1<BR>\n" );
document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >is less than one </SPAN>\n" );
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