document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23221>Question 23221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help!  Thank you so much for your assistance!\r<BR>\n" );
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document.write( "Graph the system:<BR>\n" );
document.write( "y>2x+4<BR>\n" );
document.write( "y<-x+8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11907 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I usually shy away from these inequalites, because I don't know how to shade graphs in algebra.com.  However, I can graph the lines and you can do the shading for me.\r<BR>\n" );
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document.write( "First graph y = 2x + 4, which is a straight line with y-intercept up 4 units on the y-axis, and a slope of 2.\r<BR>\n" );
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document.write( "Because the inequality is \">\" you do NOT want to include the line, so graph it with a DOTTED line, and since it is \"y> ___\" you must shade ABOVE the line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+2x%2B4+%29+ ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+2x%2B4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For the next one, graph y = -x + 8, which is a straight line with y-intercept up 8 units on the y-axis, and a slope of -1.\r<BR>\n" );
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document.write( "Because the inequality is \"<\" you do NOT want to include the line, so graph it with a DOTTED line, and since it is \"y< ___\" you must shade BEWLOW the line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+-x%2B8+%29+ ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+-x%2B8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, do it all together on one graph.  Remember both lines are to be dotted, and shade above the first line, and below the second line.  It should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+2x%2B4%2C+-x%2B8+%29+ ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C+-10%2C10%2C-10%2C10%2C+2x%2B4%2C+-x%2B8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In my graph, remember, BOTH lines are DOTTED, and shade ABOVE the red line, and below the green line.  The solution is the INTERSECTION of the two areas-- that is the area common to both, the overlapping area, in this case, the upper left part of the graph.\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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