document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=99397>Question 99397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could  you  please  solve  the  inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29%28x-1%29%28x-3%29%3Cor=0 ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%28x-1%29%28x-3%29%3Cor=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Write the answer in set notation and interval notation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72332 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=72332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve  the  inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29%28x-1%29%28x-3%29%3Cor=0 ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%28x-1%29%28x-3%29%3Cor=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Write the answer in set notation and interval notation.<BR>\n" );
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document.write( "Solve the EQUALITY:<BR>\n" );
document.write( "x = -2, x=1, x=3<BR>\n" );
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document.write( "Draw a number line.<BR>\n" );
document.write( "Mark x=-2, x=1, and x=3 on the line.<BR>\n" );
document.write( "They divide the line into four intervals.<BR>\n" );
document.write( "Look for solutions for the INEQUALITY in each of the intervals.<BR>\n" );
document.write( "Do this by inserting a test value into (x+2)(x-1)(x-3)<0:<BR>\n" );
document.write( "In (-inf,-2)select x=-3; you get -*-*- <0 so there are solutions here<BR>\n" );
document.write( "In (-2,1) select x=0; you get +*-*->0 so no solutions here<BR>\n" );
document.write( "In (1,3) select x=2; you get +*+*-<0 so solutions here<BR>\n" );
document.write( "In (3,+inf) select x=4; you get +*+*+>0 so no solutions here<BR>\n" );
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document.write( "Final answer:<BR>\n" );
document.write( "Interval notation: [-2,1] or [1,3]<BR>\n" );
document.write( "Set notation: {x|-2<=x<=1}U{x|1<=x<=}<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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