document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144432>Question 144432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to graph an inequality. Would someone please help me?\r<BR>\n" );
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document.write( "2x+3y<=6  I don't understand how to get the points to graph. 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 #105170 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=105170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+3y<=6 <BR>\n" );
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document.write( "This is both an EQUALITY and an INEQUALITY.<BR>\n" );
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document.write( "You ALWAYS need to graph the EQUALITY first because<BR>\n" );
document.write( "it is the boundary of the inequality.<BR>\n" );
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document.write( "2x+3y = 6<BR>\n" );
document.write( "Let x=0, then y = 2 giving you point (0,2)<BR>\n" );
document.write( "Let y=0, then x = 3 giving you point (3,0)<BR>\n" );
document.write( "Plot those two points and draw a line thru them.<BR>\n" );
document.write( "That is the graph of the EQUALITY.<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%28-2%2F3%29x%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Since your INEQUALITY states 2x+3y is Less than 6,<BR>\n" );
document.write( "shade the half-plane BELOW the boundary line. That<BR>\n" );
document.write( "is the graph of the INEQUALITY.<BR>\n" );
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document.write( "The union of the two graphs is the graph for your problem.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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