document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77747>Question 77747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain how you could solve the linear inequality\r<BR>\n" );
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document.write( "x^3 - x^2 - 6x >= 0\r<BR>\n" );
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document.write( "Hint: Factor the left hand side completely (you should have three factors) and use the same method for solving a quadratic inequality by making a table.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55726 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=55726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^3 - x^2 - 6x >= 0 <BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "x(x^2-x-6)<BR>\n" );
document.write( "=x(x-3)(x+2)<BR>\n" );
document.write( "This has zeroes at x=-2, x=0, and x=3.<BR>\n" );
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document.write( "Draw a number line and choose appropriate points for -2,0,and 3.<BR>\n" );
document.write( "This creates 4 intervals.<BR>\n" );
document.write( "Check each interval to see where the solutions lie.<BR>\n" );
document.write( "You are looking for x(x-3)(x+2)>0<BR>\n" );
document.write( "Int. (-inf,-2); check x=100; you get -*-*-<0 so no solutions there<BR>\n" );
document.write( "Int. (-2,0); check x=-1; you get -*-*+ >0 so solutions here<BR>\n" );
document.write( "Int. (0,3); check x=1 ; you get +*-*+ <0 so no solutions there<BR>\n" );
document.write( "Int. (3,inf); check x=100; you get +*+*+>0 so solutions here<BR>\n" );
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document.write( "Answer [-2,0] union [3,inf]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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