document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266770>Question 266770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the system of inequalities: x+2y<=8, 2x+y<=0, x>=0, y>=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195963 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20060)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28green%28x%2B2y%3C=8%29%2C+red%282x%2By%3C=0%29%2C+x%3E=0%2C+y%3E=0%29 ALIGN=MIDDLE  ALT=\"system%28green%28x%2B2y%3C=8%29%2C+red%282x%2By%3C=0%29%2C+x%3E=0%2C+y%3E=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the first two for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28green%28y%3C=%288-x%29%2F2%29%2C+red%28y%3C=-2x%29%2C+x%3E=0%2C+y%3E=0%29 ALIGN=MIDDLE  ALT=\"system%28green%28y%3C=%288-x%29%2F2%29%2C+red%28y%3C=-2x%29%2C+x%3E=0%2C+y%3E=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "plot the boundary equations, which are the original inequalities<BR>\n" );
document.write( "with equal signs in place of inequality signs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28green%28x%2B2y=8%29%2C+red%282x%2By=0%29%2C+x=0%2C+y=0%29 ALIGN=MIDDLE  ALT=\"system%28green%28x%2B2y=8%29%2C+red%282x%2By=0%29%2C+x=0%2C+y=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The last two are the y and x axes, respectively.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > says we are on to the right of the y-axis,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=0%29 ALIGN=MIDDLE  ALT=\"y%3E=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > says we are on or above the x-axis, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C254.54545%2C-2%2C9%2C-2%2C5%2C+graph%28400%2C254.54545%2C-2%2C9%2C-2%2C5%29%2C%0D%0Agreen%28line%2820%2C-6%2C-8%2C8%29%29%2C+red%28line%28-10%2C20%2C7%2C-14%29%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the inequalities for the green and red lines are both<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%22%3C=%22%22 ALIGN=MIDDLE  ALT=\"%22%22%3C=%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the solution set is on or under both of them,<BR>\n" );
document.write( "on or right of the y-axis, and on or above the x-axis.\r<BR>\n" );
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document.write( "There is only one point that satisfies all these, and that<BR>\n" );
document.write( "is the one point (0,0), the origin.\r<BR>\n" );
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document.write( "So the solution set is { (0,0) }\r<BR>\n" );
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document.write( "Edwin</pre>    \r<BR>\n" );
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document.write( " </SPAN>\n" );
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