document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=381352>Question 381352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help? I need to graph a system of linear inequalities, then test to see what satisfies both. Here is the system:<BR>\n" );
document.write( " <BR>\n" );
document.write( "                        x+y>4<BR>\n" );
document.write( "                        x+y<-1<BR>\n" );
document.write( "Here's what I have done so far:<BR>\n" );
document.write( "For Line 1, the first inequality:<BR>\n" );
document.write( "x-intercept is (4,0) and y-intercept is (0,4)\r<BR>\n" );
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document.write( "For Line 2, the second inequality:<BR>\n" );
document.write( "x-intercept is (-1,0) and y-intercept is (0,-1).\r<BR>\n" );
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document.write( "Ok, both these lines are dashed lines, since neither are equal, and therefore included, so I end up with two parallel dashed lines. My problem: I can't find an answer to satisfy BOTH inequalities, so I don't know what to shade in as \"true\".<BR>\n" );
document.write( "Can someone please set me straight and tell me what I am doing wrong? Thank you!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270478 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=270478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y>4<BR>\n" );
document.write( "x+y<-1<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Graph both boundary lines as dashed lines:<BR>\n" );
document.write( "y = -x+4<BR>\n" );
document.write( "y = -x-1<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B4%2C-x-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B4%2C-x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since you want y > -x+4, shade the half-plane ABOVE the boundary line.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since you want y < -x-1, shade the half-plane BELOW the boundary line.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3E-x%2B4%2Cy%3C-x-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3E-x%2B4%2Cy%3C-x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since there are no points which satisfy both conditions there<BR>\n" );
document.write( "is no solution for the system.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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