document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553110>Question 553110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2F%28x%5E2-1%29+%3E=+-3+ ALIGN=MIDDLE  ALT=\"+2+%2F%28x%5E2-1%29+%3E=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Include a sketch to support answer.\r<BR>\n" );
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document.write( "I isolated x to get<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%28+3+%29%2F3 ALIGN=MIDDLE  ALT=\"sqrt+%28+3+%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28+3+%29%2F3 ALIGN=MIDDLE  ALT=\"-sqrt%28+3+%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > but I don't understand how x is greater than or equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%283%29%2F3 ALIGN=MIDDLE  ALT=\"sqrt+%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and less than or equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%28+3+%29%2F3 ALIGN=MIDDLE  ALT=\"-sqrt%28+3+%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I also don't know how to do the sketch.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360691 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=360691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:<BR>\n" );
document.write( "2 /(x^2-1) >= -3 <BR>\n" );
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document.write( "x cannot be -1 ; x cannot be +1<BR>\n" );
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document.write( "Draw a number line and plot x = -1 and x = 1<BR>\n" );
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document.write( "Solve the Equality:<BR>\n" );
document.write( "2 = -3(x^2-1)<BR>\n" );
document.write( "2 = -3x^2+3<BR>\n" );
document.write( "3x^2 = 1<BR>\n" );
document.write( "x^2 = 1/3<BR>\n" );
document.write( "x = +-sqrt(3/3)<BR>\n" );
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document.write( "Plot those values on the number line.<BR>\n" );
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document.write( "You now have values at -1, -1/sqrt(3), 1/sqrt(3), +1<BR>\n" );
document.write( "Find the solution set by testing a value in each<BR>\n" );
document.write( "of the resulting 5 intervals:<BR>\n" );
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document.write( "2 /(x^2-1) > -3 <BR>\n" );
document.write( "Test x = -10:: 2/(99)> -3 ; true ; solutions in (-oo,-1)<BR>\n" );
document.write( "Test x = -3/4 ; 2/(-7/16) > -3 ; false <BR>\n" );
document.write( "Test x = 0 ; 2/-1 > -3 ; true ; solutions in [-sqrt(1/3),sqrt(1/3]<BR>\n" );
document.write( "Test x = +3/4 ; 2/(-7/15) > false<BR>\n" );
document.write( "Test x = 10 ; 2/99 > -3 ; true ; solutions in (1,+oo)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========  </SPAN>\n" );
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