document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247624>Question 247624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this, thank you.\r<BR>\n" );
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document.write( "Compare the graphs of 3x – 2y > 6 and 3x – 2y <= 6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180587 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><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/cgi-bin/show-face.mpl?user=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To graph an equation or inequality, we usually solve for y.<BR>\n" );
document.write( "At least, this helps us when using a graphing calculator.<BR>\n" );
document.write( "Therefore:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y%3E6 ALIGN=MIDDLE  ALT=\"3x-2y%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y%3E-3x%2B6 ALIGN=MIDDLE  ALT=\"-2y%3E-3x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%283%2F2%29x-3 ALIGN=MIDDLE  ALT=\"y%3C%283%2F2%29x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice that when we add or substract on both sides of inequalities, the symbol does not change direction.  However, when we multiply or divide by a negative number on both sides, the symbol does change direction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2y%3C=6 ALIGN=MIDDLE  ALT=\"3x-2y%3C=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y%3C=-3x%2B6 ALIGN=MIDDLE  ALT=\"-2y%3C=-3x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=%283%2F2%29x-3 ALIGN=MIDDLE  ALT=\"y%3E=%283%2F2%29x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The results are very similar, except that they mean different things.<BR>\n" );
document.write( "If these were equalities, below is how the graph would look like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%283%2F2%29x-3%29 ALIGN=MIDDLE  ALT=\"graph+%28400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%283%2F2%29x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "However, in the case of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%283%2F2%29x-3 ALIGN=MIDDLE  ALT=\"y%3C%283%2F2%29x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the line should not be a solid line, it should be drawn like: - - - - and you should also shade the area below this line since the y is less than - - - -.\r<BR>\n" );
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document.write( "On the other hand, in the case of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=%283%2F2%29x-3 ALIGN=MIDDLE  ALT=\"y%3E=%283%2F2%29x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the line should be solid and you should also shade the area above the line since y is \"greater than and equal to\" the line. </SPAN>\n" );
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