document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203367>Question 1203367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the xy-plane, if a point with the coordinates (c, d) lies in the solution set of this system of inequalities,<BR>\n" );
document.write( "what is the minimum possible value of d?<BR>\n" );
document.write( "y>-4x + 540,<BR>\n" );
document.write( "y > 2x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838863 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "ANSWER (to the problem as presented): There is no minimum possible value of d.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E-4x%2B540 ALIGN=MIDDLE  ALT=\"y%3E-4x%2B540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E2x ALIGN=MIDDLE  ALT=\"y%3E2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-20%2C120%2C-100%2C900%2C2x%2C-4x%2B540%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-20%2C120%2C-100%2C900%2C2x%2C-4x%2B540%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Because both inequalities are strict inequalities, any solution to the pair of inequalities lies ABOVE both constraint boundary lines.<br><BR>\n" );
document.write( "Solving the pair of equations of the constraint boundary lines, we find the point of intersection is (90,180).<br><BR>\n" );
document.write( "So we know the minimum possible value of the y coordinate is GREATER THAN 180....<br><BR>\n" );
document.write( "But there is no \"minimum value greater than 180\".<br><BR>\n" );
document.write( "In order for it to be possible to answer the question, the inequalities must both be \"greater than or equal to\" instead of \"greater than\":<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=-4x%2B540 ALIGN=MIDDLE  ALT=\"y%3E=-4x%2B540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=2x ALIGN=MIDDLE  ALT=\"y%3E=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then we know the minimum value of d, the y coordinate: 180<br><BR>\n" );
document.write( "ANSWER (to the corrected problem): 180<br><BR>\n" );
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