document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278813>Question 278813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this problem. I need to determine if the graph is bounded and what the corner points are.  Can you please help me find the corner points?  Thank you.\r<BR>\n" );
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document.write( "x + y _>_ 1<BR>\n" );
document.write( "2x + 3y _<_ 12<BR>\n" );
document.write( "3x + y _<_ 9<BR>\n" );
document.write( "x _>_ 0<BR>\n" );
document.write( "y _>_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 #202805 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=202805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this problem. I need to determine if the graph is bounded and what the corner points are. Can you please help me find the corner points? Thank you. <BR>\n" );
document.write( "x + y _>_ 1<BR>\n" );
document.write( "2x + 3y _<_ 12<BR>\n" );
document.write( "3x + y _<_ 9<BR>\n" );
document.write( "x _>_ 0<BR>\n" );
document.write( "y _>_0 <BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The last two inequalities put the graphs in the 1st quadrant.<BR>\n" );
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document.write( "Graph y = -x+1; shade the half-plane above the line<BR>\n" );
document.write( "Graph y = (-2/3)x + 4 ; shade the half-plane below the line<BR>\n" );
document.write( "Graph y = -3x+9 ; shade the half-plane below the line<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B1%2C%28-2%2F3%29x%2B4%2C-3x%2B9%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B1%2C%28-2%2F3%29x%2B4%2C-3x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "Look at those results to see if you have a closed area in the 1st Quadrant:<BR>\n" );
document.write( "You do, with corners at (0,1),(0,4),(1,0),(3,0) and the intersection<BR>\n" );
document.write( "of the blue and the green line, which you can determine.<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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