document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=650708>Question 650708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the question that I have.\r<BR>\n" );
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document.write( "On the coordinate plane, graph the compound inequality:\r<BR>\n" );
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document.write( "y > 6 or y &#8805; x - 4\r<BR>\n" );
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document.write( "I am completely lost on this. I did not know you could graph a compound inequality with more than one variable. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407385 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=407385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you graph the following equations:<BR>\n" );
document.write( "y = 6<BR>\n" );
document.write( "y = x-4<BR>\n" );
document.write( "this gets you the demarc lines.<BR>\n" );
document.write( "this gets into logic as well.<BR>\n" );
document.write( "your statement says you want to graph:<BR>\n" );
document.write( "y > 6 OR y >= x-4<BR>\n" );
document.write( "this means that you can have the region on the graph that is above the<BR>\n" );
document.write( "line y = y OR you can have the region on the graph that is above or on<BR>\n" );
document.write( "the line y = x-4 OR you can have both at the same time.<BR>\n" );
document.write( "your statement could also have said you want to graph:<BR>\n" );
document.write( "y > 6 AND y >= x-4.<BR>\n" );
document.write( "this means that you can have the region on the graph that is above the<BR>\n" );
document.write( "line y = 6 AND you can have the region on the graph that is above or on<BR>\n" );
document.write( "the line y = x-4 at the same time.<BR>\n" );
document.write( "bottom line is that you CAN graph multiple equations in x and y on the<BR>\n" );
document.write( "same graph.<BR>\n" );
document.write( "you look for the region that satisfies ALL of the requirements of the<BR>\n" );
document.write( "problem.<BR>\n" );
document.write( "keep in mind that OR means either A OR B OR both.<BR>\n" );
document.write( "also keep in mind that AND means A AND B at the same time.<BR>\n" );
document.write( "With AND they MUST occur at the same time.<BR>\n" );
document.write( "With OR, they CAN occur at the same time but don't have to.<BR>\n" );
document.write( "graphs of your equations are shown below for visual clarification.<BR>\n" );
document.write( "THE FIRST GRAPH SHOWS THE LINES Y=6 AND Y=X-4.<BR>\n" );
document.write( "THERE IS NO REGION INVOLVED.<BR>\n" );
document.write( "JUST THE LINES THEMSELVES.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/sep135.jpg\" alt = \"$$$$$\" /><BR>\n" );
document.write( "THE SECOND GRAPH SHOWS THE REGION THAT SATISFIES THE EQUATION Y > 6<BR>\n" );
document.write( "NOTE THAT THE LINE IS DASHED WHICH INDICATES THE REGION DOES NOT INCLUDE ANY POINTS ON THE LINE ITSELF.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/sep131.jpg\" alt = \"$$$$$\" /><BR>\n" );
document.write( "THE THIRD GRAPH SHOWS THE REGION THAT SATISFIES THE EQUATION Y >= X-4<BR>\n" );
document.write( "NOTE THAT THE LINE IS SOLID WHICH INDICATES THE REGION INCLUDES ALL POINTS ON THE LINE ITSELF.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/sep132.jpg\" alt = \"$$$$$\" /><BR>\n" );
document.write( "THE FOURTH GRAPH SHOWS THE REGION THAT SATISFIES THE EQUATIONS OF Y > 6 OR Y >= X-4.<BR>\n" );
document.write( "NOTE THAT THIS REGION INCLUDES ALL THE REGION THAT SATISFIES THE EQUATION Y > 6 AND ALL THE REGION THAT SATISFIES THE EQUATION Y >= X-4.  IT CAN SATISFY THE EQUATION Y > 6 WITHOUT SATISFYING THE EQUATION Y >= X-4, OR IT CAN SATISFY THE EQUATION Y >= X-4 WITHOUT SATISFYING THE EQUATION Y > 6, OR IT CAN SATISFY BOTH AT THE SAME TIME.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/sep133.jpg\" alt = \"$$$$$\" /><BR>\n" );
document.write( "THE FIFTH EQUATION SHOWS THE REGION THAT SATISFIES BOTH THE EQUATIONS Y > 6 AND THE EQUATION Y >= X-4 AT THE SAME TIME.<BR>\n" );
document.write( "IT HAS TO SATISFY BOTH AT THE SAME TIME.  <BR>\n" );
document.write( "THIS CAN ONLY HAPPEN WHEN THE REGION IS ABOVE THE LINE Y > 6 AND ABOVE OR ON THE LINE Y >= X-4 AT THE SAME TIME.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/sep134.jpg\" alt = \"$$$$$\" /><BR>\n" );
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