document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359504>Question 359504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (graph the system of inequalities)<BR>\n" );
document.write( "y is less than or equal to -2x^2 + 7x + 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256575 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the parabola, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B7x%2B4 ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B7x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-8%2C12%2C-2x%5E2%2B7x%2B4%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-8%2C12%2C-2x%5E2%2B7x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now choose a point not on the curve.<BR>\n" );
document.write( "(0,0) is always a convenient choice, if available.<BR>\n" );
document.write( "Test the inequality.<BR>\n" );
document.write( "If the inequality is satisfied, shade the region containing (0,0). <BR>\n" );
document.write( "If not shade the other region.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=-2x%5E2%2B7x%2B4 ALIGN=MIDDLE  ALT=\"y%3C=-2x%5E2%2B7x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=0%2B0%2B4 ALIGN=MIDDLE  ALT=\"0%3C=0%2B0%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=4 ALIGN=MIDDLE  ALT=\"0%3C=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True, shade the region containing (0,0).<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=plot_any_inequality.solver>Plot Any Inequality</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Graphing function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=-2x%5E2%2B7x%2B4 ALIGN=MIDDLE  ALT=\"y%3C=-2x%5E2%2B7x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+300%2C+300%2C+-10%2C+10%2C+-8%2C+12%2C+y%3C=-2x%5E2%2B7x%2B4+%29 ALIGN=MIDDLE  ALT=\"graph%28+300%2C+300%2C+-10%2C+10%2C+-8%2C+12%2C+y%3C=-2x%5E2%2B7x%2B4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );