document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548285>Question 548285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph 2x+5y > or equal to 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356864 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=356864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's first graph the line <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y=10 ALIGN=MIDDLE  ALT=\"2x%2B5y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We will put this into slope-intercept form to make this easier:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y=10 ALIGN=MIDDLE  ALT=\"2x%2B5y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=10-2x ALIGN=MIDDLE  ALT=\"5y=10-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2-%282%2F5%29%2Ax ALIGN=MIDDLE  ALT=\"y=2-%282%2F5%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F5%29%2Ax%2B2 ALIGN=MIDDLE  ALT=\"y=-%282%2F5%29%2Ax%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this line looks like <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-%282%2F5%29%2Ax%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-%282%2F5%29%2Ax%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, our graph is essentially broken up into two regions.  We can take a point in each region and \"test it\".  ((You can pick any points... because I like work to be easy... I will pick points on the x or y axis so I have a zero to deal with)  \r<BR>\n" );
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document.write( "For the lower region I will use (0, 0) <BR>\n" );
document.write( "so <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y%3E=10 ALIGN=MIDDLE  ALT=\"2x%2B5y%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A0%2B5%2A0%3E=10 ALIGN=MIDDLE  ALT=\"2%2A0%2B5%2A0%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E=10 ALIGN=MIDDLE  ALT=\"0%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is not true, so we cannot shade this region. \r<BR>\n" );
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document.write( "For the upper region I will use (0,3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y%3E=10 ALIGN=MIDDLE  ALT=\"2x%2B5y%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A0%2B5%2A3%3E=10 ALIGN=MIDDLE  ALT=\"2%2A0%2B5%2A3%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%3E=10 ALIGN=MIDDLE  ALT=\"15%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is true, so I can shade the upper region.   <BR>\n" );
document.write( "Since <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y%3E=10 ALIGN=MIDDLE  ALT=\"2x%2B5y%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Has a = to 10, the line will be solid.... if however it was just >, the line would be dotted as the region would get really close to the line but would never touch the line.  \r<BR>\n" );
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document.write( "Hopefully this helps, let me know if you are still unsure:)  </SPAN>\n" );
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