document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73716>Question 73716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph each of the following inequalities. \r<BR>\n" );
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document.write( "3x-4y<12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53011 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=53011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First graph the equation:<BR>\n" );
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document.write( "3x - 4y = 12<BR>\n" );
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document.write( "You can do this easily by first setting x equal to 0.  This reduces the equation to:<BR>\n" );
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document.write( "-4y = 12<BR>\n" );
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document.write( "Dividing both sides of this by -4 results in y = -3.  So you know that the point x = 0 and y = -3<BR>\n" );
document.write( "or (0, -3) is one point on the graph.<BR>\n" );
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document.write( "Next set y equal to 0.  This reduces the equation to:<BR>\n" );
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document.write( "3x = 12<BR>\n" );
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document.write( "Dividing both sides of this by 3 results in:<BR>\n" );
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document.write( "x = 4. Therefore, when y is 0 then x is +4 so the point (4, 0) is on the graph.<BR>\n" );
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document.write( "If you draw the graph of this equation you get the following:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%283%2F4%29%2Ax+-+3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%283%2F4%29%2Ax+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The equation tells you that the left side (3x - 4y) equals 12.  But the problem says that<BR>\n" );
document.write( "(3x - 4y) is less than 12.  So any solution that is below the graph is less than 12.<BR>\n" );
document.write( "Shade in the entire area below (but not including) the line.  This shaded region is all the <BR>\n" );
document.write( "(x,y) points that will make the left side of this equation smaller than 12.<BR>\n" );
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document.write( "Hope this helps you to understand this inequality problem. </SPAN>\n" );
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