document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439197>Question 439197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone pleas show me step by step how to graph the system of inequalities?<BR>\n" );
document.write( "x+y<6                (All are greater than or equal to and all less than are are <BR>\n" );
document.write( "                      less than or equal to) <BR>\n" );
document.write( "2x+y<6<BR>\n" );
document.write( "x>0<BR>\n" );
document.write( "y>0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303522 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=303522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Could someone pleas show me step by step how to graph the system of inequalities?<BR>\n" );
document.write( "x+y<6 (All are greater than or equal to and all less than are are <BR>\n" );
document.write( "less than or equal to) <BR>\n" );
document.write( "2x+y<6<BR>\n" );
document.write( "x>0<BR>\n" );
document.write( "y>0<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Note: You don't directly graph inequalities.  You first of all<BR>\n" );
document.write( "graph the boundary of the inequality, which is always an equality.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "To graph x+y < 6<BR>\n" );
document.write( "Graph y = -x+6 as a dashed line.<BR>\n" );
document.write( "Shade the half-plane below the line.<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%3C+-x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C+-x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "To graph 2x+y< 6 <BR>\n" );
document.write( "Graph y = -2x+6 as a dashed line<BR>\n" );
document.write( "Shade the half-plane below the line<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+%3C-2x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy+%3C-2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "----<BR>\n" );
document.write( "The solution set is the intersection<BR>\n" );
document.write( "of those two half-planes in the 1st Quadrant.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "You only look in the 1st Quadrant because you<BR>\n" );
document.write( "have x> 0 and y> 0<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%3C+-x%2B6%2Cy+%3C-2x%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C+-x%2B6%2Cy+%3C-2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );