document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7409>Question 7409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I solve the inequality for the equation x - 1/x^2 < 0? I came up with the answer of (0,1). Would this be the correct answer or show me how to work for the correct answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4117 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=4117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try multiplying everything by x^2. That should get you x^3 < 0. Cube root both sides and you'll get x < 0.\r<BR>\n" );
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document.write( "If you plug in a positive value, you'll ALWAYS end up this way: \"I'll pick the smallest positive number I can think of, but then I'd be subtracting 1/x^2, which is even smaller than my (already) small number. That won't bring me less than zero.\" So we can't plug in positive numbers.\r<BR>\n" );
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document.write( "You can't plug in a zero because that would make a denominator zero in the inequality.\r<BR>\n" );
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document.write( "What about negative numbers? It's fairly obvious that if you choose a negative x, you'll even go further to the negative direction by just a little when 1/x^2 is subtracted from it.\r<BR>\n" );
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document.write( "So any negative number will work for your inequality. </SPAN>\n" );
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