document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969498>Question 969498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the inequality 4x + y &#8804; 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592373 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rewrite as y<=-4x +5 <BR>\n" );
document.write( "Graph this.  The y-intercept is 5, and the slope is steeply negative.\r<BR>\n" );
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document.write( "Now, for the inequality, the easiest way is to see whether the origin belongs in the inequality or not.<BR>\n" );
document.write( "So, put 0 for x and 0 for y into the equation.  <BR>\n" );
document.write( "0<=5.  This is true, so you would shade the area to the LEFT of the line, where the origin is, and you would include the line, since it is <=.  \r<BR>\n" );
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document.write( "Test with other points. 3,3  12+3<=5 ?  No.  So 3,3 should be out of the shaded area and is on the opposite side of the line.\r<BR>\n" );
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document.write( "If the line happens to go through the origin, test with (1,1) (3,0) (0,3) or something similar.<BR>\n" );
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