document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146396>Question 146396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the system of inequalities<BR>\n" );
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document.write( "x<=2<BR>\n" );
document.write( "y>=-2x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106879 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=106879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <a name=\"top\">\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"#1\">Jump to Inequality #1</a><BR>\n" );
document.write( "<a  rel=nofollow HREF=\"#2\">Jump to Inequality #2</a><BR>\n" );
document.write( "<a  rel=nofollow HREF=\"#solution\">Jump to Solution</a>\r<BR>\n" );
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document.write( "Inequality #1 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=2 ALIGN=MIDDLE  ALT=\"x%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the 1st inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace the inequality sign with an equals sign.\r<BR>\n" );
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document.write( "So in order to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=2 ALIGN=MIDDLE  ALT=\"x%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > first. So simply draw a vertical line through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the inequality sign is \"<=\", this tells us to shade to the left.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++++graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B0%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B1%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B2%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B3%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B4%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B5%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B6%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B7%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B8%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B9%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B10%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B11%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B12%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B13%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B14%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B15%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B16%29%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=2 ALIGN=MIDDLE  ALT=\"x%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the shaded region in green\r<BR>\n" );
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document.write( "Now move onto the next inequality\r<BR>\n" );
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document.write( "Inequality #2 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=-2x%2B3 ALIGN=MIDDLE  ALT=\"y%3E=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the 2nd inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace the inequality sign with an equals sign.\r<BR>\n" );
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document.write( "So in order to plot <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=-2x%2B3 ALIGN=MIDDLE  ALT=\"y%3E=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to plot the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > first. <BR>\n" );
document.write( "(note: if you need help with graphing, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Linear-equations/graphing-linear-equations.solver>solver</a>)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2B3 ALIGN=MIDDLE  ALT=\"y=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in a test point (0,0) into the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E-2x%2B3 ALIGN=MIDDLE  ALT=\"y%3E-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=-2x%2B3 ALIGN=MIDDLE  ALT=\"y%3E=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E=-2%2A%280%29%2B3 ALIGN=MIDDLE  ALT=\"0%3E=-2%2A%280%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E=3 ALIGN=MIDDLE  ALT=\"0%3E=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify.\r<BR>\n" );
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document.write( "Since the inequality is false, this means that we shade the entire region that does <b>NOT</b> contain the point (0,0)\r<BR>\n" );
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document.write( "In other words, we simply shade the <b>entire</b> region that is above the line.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++++graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B0%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B4%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B8%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B12%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B16%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B20%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B24%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B28%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B32%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B36%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B40%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B44%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B48%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B52%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B56%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B60%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B64%29%0D%0A%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=-2x%2B3 ALIGN=MIDDLE  ALT=\"y%3E=-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the shaded region in green\r<BR>\n" );
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document.write( " Now draw all of the inequalities on the same coordinate system.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C-2x%2B3%2B0%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B0%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B4%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B8%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B12%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B16%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B20%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B24%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B28%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B32%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B36%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B40%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B44%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B48%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B52%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B56%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B60%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-2x%2B3%2C-2x%2B3%2B64%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B0%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B1%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B2%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B3%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B4%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B5%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B6%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B7%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B8%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B9%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B10%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B11%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B12%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B13%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B14%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B15%29%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C1000%28x-2%2B16%29%29%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the 2 inequalities and their shaded regions.\r<BR>\n" );
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document.write( "  <a name=\"solution\">\r<BR>\n" );
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document.write( "  The solution region will be the intersecting region of the inequalities.\r<BR>\n" );
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document.write( "  ----------------------------  <font size=\"4\" color=\"red\"><b>Solution</b></font>  --------------------------\r<BR>\n" );
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document.write( " So the solution looks like:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-2%29%2C-2x%2B3%29%2C%0D%0A%0D%0A+++circle%28-2%2C8%2C0.08%29%2C%0D%0Acircle%28-2%2C8%2C0.1%29%2C%0D%0Acircle%28-2%2C9%2C0.08%29%2C%0D%0Acircle%28-2%2C9%2C0.1%29%2C%0D%0Acircle%28-1%2C6%2C0.08%29%2C%0D%0Acircle%28-1%2C6%2C0.1%29%2C%0D%0Acircle%28-1%2C7%2C0.08%29%2C%0D%0Acircle%28-1%2C7%2C0.1%29%2C%0D%0Acircle%28-1%2C8%2C0.08%29%2C%0D%0Acircle%28-1%2C8%2C0.1%29%2C%0D%0Acircle%28-1%2C9%2C0.08%29%2C%0D%0Acircle%28-1%2C9%2C0.1%29%2C%0D%0Acircle%280%2C4%2C0.08%29%2C%0D%0Acircle%280%2C4%2C0.1%29%2C%0D%0Acircle%280%2C5%2C0.08%29%2C%0D%0Acircle%280%2C5%2C0.1%29%2C%0D%0Acircle%280%2C6%2C0.08%29%2C%0D%0Acircle%280%2C6%2C0.1%29%2C%0D%0Acircle%280%2C7%2C0.08%29%2C%0D%0Acircle%280%2C7%2C0.1%29%2C%0D%0Acircle%280%2C8%2C0.08%29%2C%0D%0Acircle%280%2C8%2C0.1%29%2C%0D%0Acircle%280%2C9%2C0.08%29%2C%0D%0Acircle%280%2C9%2C0.1%29%2C%0D%0Acircle%281%2C2%2C0.08%29%2C%0D%0Acircle%281%2C2%2C0.1%29%2C%0D%0Acircle%281%2C3%2C0.08%29%2C%0D%0Acircle%281%2C3%2C0.1%29%2C%0D%0Acircle%281%2C4%2C0.08%29%2C%0D%0Acircle%281%2C4%2C0.1%29%2C%0D%0Acircle%281%2C5%2C0.08%29%2C%0D%0Acircle%281%2C5%2C0.1%29%2C%0D%0Acircle%281%2C6%2C0.08%29%2C%0D%0Acircle%281%2C6%2C0.1%29%2C%0D%0Acircle%281%2C7%2C0.08%29%2C%0D%0Acircle%281%2C7%2C0.1%29%2C%0D%0Acircle%281%2C8%2C0.08%29%2C%0D%0Acircle%281%2C8%2C0.1%29%2C%0D%0Acircle%281%2C9%2C0.08%29%2C%0D%0Acircle%281%2C9%2C0.1%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  Graph of the 2 lines and the final solution region represented by a series of dots.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );