document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364997>Question 364997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.how do I solve the inequality and give the answer in interval notation?\r<BR>\n" );
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document.write( "(x+8)(x+3)(x-3)>0    ?????\r<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 #260256 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=260256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Break up the number line into 4 regions using the critical points of the function.<BR>\n" );
document.write( "Region 1:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Region 2:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Region 3:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "Region 4:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "For each region, choose a point in the region (not an endpoint).<BR>\n" );
document.write( "Test the inequality.<BR>\n" );
document.write( "If the inequality is satisfied, the region is part of the solution region.<BR>\n" );
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document.write( "Region 1:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-9 ALIGN=MIDDLE  ALT=\"x=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%28x%2B3%29%28x-3%29%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x%2B3%29%28x-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-9%2B8%29%28-9%2B3%29%28-9-3%29%3E0 ALIGN=MIDDLE  ALT=\"%28-9%2B8%29%28-9%2B3%29%28-9-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28-6%29%28-12%29%3E0+ ALIGN=MIDDLE  ALT=\"%28-1%29%28-6%29%28-12%29%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-72%3E0+ ALIGN=MIDDLE  ALT=\"-72%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "False, Region 1 is not part of the solution region.<BR>\n" );
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document.write( "Region 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4%7D%7D%0D%0A%7B%7B%7B%28x%2B8%29%28x%2B3%29%28x-3%29+%3E0 ALIGN=MIDDLE  ALT=\"x=-4%7D%7D%0D%0A%7B%7B%7B%28x%2B8%29%28x%2B3%29%28x-3%29+%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2B8%29%28-4%2B3%29%28-4-3%29%3E0 ALIGN=MIDDLE  ALT=\"%28-4%2B8%29%28-4%2B3%29%28-4-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29%28-1%29%28-7%29%3E0+ ALIGN=MIDDLE  ALT=\"%284%29%28-1%29%28-7%29%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%3E0+ ALIGN=MIDDLE  ALT=\"28%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True, Region 2 is part of the solution region.<BR>\n" );
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document.write( "Region 3:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%28x%2B3%29%28x-3%29%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x%2B3%29%28x-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%29%283%29%28-3%29%3E0 ALIGN=MIDDLE  ALT=\"%288%29%283%29%28-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-72%3E0+ ALIGN=MIDDLE  ALT=\"-72%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "False, Region 4 is not part of the solution region.<BR>\n" );
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document.write( "Region 4:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%28x%2B3%29%28x-3%29%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%28x%2B3%29%28x-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2B8%29%284%2B3%29%284-3%29%3E0 ALIGN=MIDDLE  ALT=\"%284%2B8%29%284%2B3%29%284-3%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%29%287%29%281%29%3E0+ ALIGN=MIDDLE  ALT=\"%2812%29%287%29%281%29%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%3E0+ ALIGN=MIDDLE  ALT=\"84%3E0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True, Region 4 is part of the solution region.<BR>\n" );
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document.write( "Solution Region:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) U (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "Graphical verification: Look for regions where the function is above the x-axis (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E0 ALIGN=MIDDLE  ALT=\"y%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-12%2C4%2C-120%2C120%2Cgrid%281%29%2Cblue%28line%28-8%2C500%2C-8%2C-500%29%29%2Cblue%28line%28-3%2C500%2C-3%2C-500%29%29%2Cblue%28line%283%2C500%2C3%2C-500%29%29%2Cgraph%28300%2C300%2C-12%2C4%2C-120%2C120%2C%28x%2B8%29%28x%2B3%29%28x-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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