document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002800>Question 1002800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve graphing inequalities in 2 variables. In 2004, the median yearly family income was about $44,000 per year. Suppose the average annual rate of change since then is $1240 per year. How can I write and graph an inequality for the annual family incomes y that are less than the median for x years after 2004. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619790 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you let x = 0 to represent the year 2004, then your inequality will be:\r<BR>\n" );
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document.write( "y < 1240 * x + 44000.\r<BR>\n" );
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document.write( "you will graph y = 1240 + 44000.\r<BR>\n" );
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document.write( "you will make the line dashed to indicate that your inequality is less than and not less than or equal to.\r<BR>\n" );
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document.write( "if the line is dashed, then any values on the line are not valid.\r<BR>\n" );
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document.write( "only values of y below the line are valid.\r<BR>\n" );
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document.write( "you will shade the region that satisfies the inequality.\r<BR>\n" );
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document.write( "that region will be all values of y less than any values of y on the line.\r<BR>\n" );
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document.write( "for example, when x = 10, y = 56400 based on the equation y = 1240x + 44000.\r<BR>\n" );
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document.write( "when x = 10, all values of y < 56400 will satisfy the inequality.\r<BR>\n" );
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document.write( "y = 56400 will not satisfy the inequality because it is not less than 564000.\r<BR>\n" );
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document.write( "that's why the line is dashed.\r<BR>\n" );
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document.write( "a dashed line tells you that any value on the line does not satisfy the inequality.\r<BR>\n" );
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document.write( "if the inequality was <= (less than or equal), then a solid line would be used because values on the line would then be valid.\r<BR>\n" );
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document.write( "your graph will look like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/111103.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "here's a reference that tells you the same thing.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/ineqgrph.htm\" target = \"_blank\">http://www.purplemath.com/modules/ineqgrph.htm</a>\r<BR>\n" );
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