document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70156>Question 70156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please explain how to graph the inequality...instructions...graph the inequality...it is suppose to be a line under the less and/or greater than sign to make it inequality.\r<BR>\n" );
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document.write( "3x + y < 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50024 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=50024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x + y < = 5<BR>\n" );
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document.write( "Graph the EQUALITY first.<BR>\n" );
document.write( "y=-3x-5<BR>\n" );
document.write( "Let x=0, then y=-5 giving you point (0,-5)<BR>\n" );
document.write( "Let x=1, then y=-8 giving you point (1,-8)<BR>\n" );
document.write( "Plot those points and draw a line thru them.<BR>\n" );
document.write( "That is the \"boundary\" of the INEQUALITY.<BR>\n" );
document.write( "Now, pick any point on either side of the line; say (0,0)<BR>\n" );
document.write( "Subtitute those x, y values into the INEQUALITY to<BR>\n" );
document.write( "see if they give you a true statement, as follows:<BR>\n" );
document.write( "3*0+0 < 5<BR>\n" );
document.write( "0<5<BR>\n" );
document.write( "That is true.<BR>\n" );
document.write( "It means that ALL points on the same side of the line as<BR>\n" );
document.write( "(0,0) will satisfy the INEQULITY.<BR>\n" );
document.write( "That side is called a \"half-plane\".  That half-plane is the <BR>\n" );
document.write( "graph of the INEQUALITY<BR>\n" );
document.write( "The graph of your original problem includes the line and<BR>\n" );
document.write( "the half-plane.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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