document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82635>Question 82635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay, I really need someone's help with this. I have asked everyone I know if they could help. And they CAN'T.\r<BR>\n" );
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document.write( "Solve the linear inequalities by graphing:\r<BR>\n" );
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document.write( "3x+4y<=12<BR>\n" );
document.write( "x+3y<=6<BR>\n" );
document.write( "x=>0<BR>\n" );
document.write( "y=>0\r<BR>\n" );
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document.write( "PLEASE HELP!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59232 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59232\">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=3x+%2B+4y+%3C=+12 ALIGN=MIDDLE  ALT=\"3x+%2B+4y+%3C=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+3y+%3C=+6 ALIGN=MIDDLE  ALT=\"x+%2B+3y+%3C=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+0 ALIGN=MIDDLE  ALT=\"y+%3E=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Look at the 3rd and 4th first. <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;\" > simply says that x is<BR>\n" );
document.write( "never negative. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+0 ALIGN=MIDDLE  ALT=\"y+%3E=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > says y is never negative. The area<BR>\n" );
document.write( "on the graph where both are true is the upper right quadrant, so<BR>\n" );
document.write( "all solutions must be there as a restriction.<BR>\n" );
document.write( "Solve the 1st and 2nd for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+4y+%3C=+12 ALIGN=MIDDLE  ALT=\"3x+%2B+4y+%3C=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+%3C=+12+-+3x ALIGN=MIDDLE  ALT=\"4y+%3C=+12+-+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3C=+3+-+%283%2F4%29x ALIGN=MIDDLE  ALT=\"y+%3C=+3+-+%283%2F4%29x\"   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=x+%2B+3y+%3C=+6 ALIGN=MIDDLE  ALT=\"x+%2B+3y+%3C=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+%3C=+6+-+x ALIGN=MIDDLE  ALT=\"3y+%3C=+6+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3C=+2+-+x%2F3 ALIGN=MIDDLE  ALT=\"y+%3C=+2+-+x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now plot these<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+8%2C+-2%2C+8%2C+3+-+%283%2F4%29x%2C+2+-+x%2F3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+8%2C+-2%2C+8%2C+3+-+%283%2F4%29x%2C+2+-+x%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution is the area below the lines between (0,2) and (4,0)<BR>\n" );
document.write( "Note that both these points are solutions and neither one<BR>\n" );
document.write( "violates  <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;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+0 ALIGN=MIDDLE  ALT=\"y+%3E=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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