document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68743>Question 68743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the inequality.<BR>\n" );
document.write( "	2x + 3y > 6\r<BR>\n" );
document.write( "\n" );
document.write( "I have been having the hardest time with this problem and cannot seem to figure it out. I need some help, Thanks.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48943 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=48943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the inequality.<BR>\n" );
document.write( "2x + 3y > 6 <BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "You may be having trouble if you are trying to <BR>\n" );
document.write( "graph the INequality.  What you need to do <BR>\n" );
document.write( "is graph the EQUALity and then decide where<BR>\n" );
document.write( "the INequality would lie.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "So, graph 2x+3y=6 as a dashed or dotted line.<BR>\n" );
document.write( "You need two points:<BR>\n" );
document.write( "If x=0, y=2, giving you point (0,2)<BR>\n" );
document.write( "If y=0, x=3, giving you point (3,0)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Plot those two points and draw a dashed or dotted line through them.<BR>\n" );
document.write( "That is the \"boundary\" of the INequality.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cy=-%282%2F3%29x%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cy=-%282%2F3%29x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Now you have to figure out on which side of the boundary your INequality<BR>\n" );
document.write( "lies.<BR>\n" );
document.write( "So pick a test point: for example (0,0)<BR>\n" );
document.write( "Test it in your INequality statement:<BR>\n" );
document.write( "2x + 3y > 6 <BR>\n" );
document.write( "2(0) + 3(0) >6<BR>\n" );
document.write( "0>6<BR>\n" );
document.write( "This is not true; so the side of the dashed line that<BR>\n" );
document.write( "contains (0,0) is not the side you want.<BR>\n" );
document.write( "Shade the other side of the dashed line.<BR>\n" );
document.write( "THAT IS THE GRAPH OF THE INEQUALITY.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );