document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202382>Question 1202382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the following system of linear inequalities.<BR>\n" );
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document.write( "{y≥0x≥02x+2y≥22x≥y<BR>\n" );
document.write( "What are the corner points of the system? \r<BR>\n" );
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document.write( "Next, find a point that is in the feasible set of the system, but not on any of the boundary lines: <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 #837168 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using the desmos.com calculator, you would graph the opposite of the inequalities.<BR>\n" );
document.write( "the area of the graph that is not shaded is your region of feasibility.\r<BR>\n" );
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document.write( "your inequalities are:<BR>\n" );
document.write( "{y≥0x≥02x+2y≥22x≥y\r<BR>\n" );
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document.write( "y >= 0<BR>\n" );
document.write( "x >= 0<BR>\n" );
document.write( "2x + 2y >= 22<BR>\n" );
document.write( "x >= y\r<BR>\n" );
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document.write( "you would graph:\r<BR>\n" );
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document.write( "y <= 0<BR>\n" );
document.write( "x <= 0<BR>\n" );
document.write( "2x + 2y <= 22<BR>\n" );
document.write( "x <= y\r<BR>\n" );
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document.write( "here's what the graph looks like.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/052102.jpg\">\r<BR>\n" );
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document.write( "the corner points of your feasibility region are:<BR>\n" );
document.write( "(5.5,5.5)<BR>\n" );
document.write( "(11,0)\r<BR>\n" );
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document.write( "a point in the feasibility that is not at a corner point would be (15,5).\r<BR>\n" );
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document.write( "all the inequalities must be true at each of the corner points and anywhere in the feasible region.\r<BR>\n" );
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document.write( "at (5.5,5.5):\r<BR>\n" );
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document.write( "y >= 0 is true<BR>\n" );
document.write( "x >= 0 is true<BR>\n" );
document.write( "2x + 2y >= 22 = 11 + 11 >= 22 which is true.<BR>\n" );
document.write( "x >= y is true\r<BR>\n" );
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document.write( "at (11,0):\r<BR>\n" );
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document.write( "y >= 0 is true<BR>\n" );
document.write( "x >= 0 is true<BR>\n" );
document.write( "2x + 2y >= 22 = 22 + 0 >= 22 which is true.<BR>\n" );
document.write( "x >= y is true\r<BR>\n" );
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document.write( "at (15,5):\r<BR>\n" );
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document.write( "y >= 0 is true<BR>\n" );
document.write( "x >= 0 is true<BR>\n" );
document.write( "2x + 2y >= 22 = 30 + 10 >= 22 which is true.<BR>\n" );
document.write( "x >= y\r<BR>\n" );
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document.write( "desmos.com calculator can be found at <a  rel=nofollow HREF= \"https://www.desmos.com/calculator\" target = \"_blank\">https://www.desmos.com/calculator</a>\r<BR>\n" );
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document.write( "note that you have an open ended feasible region.<BR>\n" );
document.write( "the corner points of this region would most likely contain the minimum value of the objective function, if you had one.<BR>\n" );
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