document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118702>Question 118702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My brain is on shut down from all my equations and this problem has me lost. Help Please!! Angela\r<BR>\n" );
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document.write( "Solve the following system of linear inequalities by graphing.<BR>\n" );
document.write( "	x – y <= 3 	x + 2y <=6 <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 #86832 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=86832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x – y <= 3; 	x + 2y <=6<BR>\n" );
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document.write( "Put both equations in the \"y =\" form that we can graph:\r<BR>\n" );
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document.write( "x - y <= 3<BR>\n" );
document.write( "-y <= -x + 3<BR>\n" );
document.write( "We need y to be positive, mult by -1, this reverses the inequality sign<BR>\n" );
document.write( "y >= x - 3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x + 2y <= 6<BR>\n" );
document.write( "2y <= -x + 6<BR>\n" );
document.write( "y <= -.5x + 3; divided equation by 2<BR>\n" );
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document.write( "Plot the lines of these two equations: they should look like this:<BR>\n" );
document.write( "y >= x - 3; purple<BR>\n" );
document.write( "y <= -.5x + 3; green <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+6%2C+-6%2C+6%2C+x-3%2C+-.5x%2B3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+6%2C+-6%2C+6%2C+x-3%2C+-.5x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Shade the area at and above the purple line<BR>\n" );
document.write( "Shade the area at and below the green line<BR>\n" );
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document.write( "The solution area is the portion that is shaded by both, (a triangular area that opens to the left)<BR>\n" );
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document.write( "Did this help? If you don't know how to plot a graph, let me know, and we can go over that. </SPAN>\n" );
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