document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77595>Question 77595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help explain graphing inequalities!  Thanks!\r<BR>\n" );
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document.write( "I understand how to find out how to place the \"line\" what is stumping me is how to figure out which side of the line to shade!  My equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1-y ALIGN=MIDDLE  ALT=\"x%3C1-y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and I figured out where to place the \"line\" on the graph, I am confused on how to figure out which side of the line (top or bottom) to shade.\r<BR>\n" );
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document.write( "Thank You!\r<BR>\n" );
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document.write( "Josh </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55653 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=55653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x<1-y<BR>\n" );
document.write( "y<-x+1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is the graph of the EQUALITY.<BR>\n" );
document.write( "y<-x+1 is above or below it.<BR>\n" );
document.write( "Pick any point that is not on the line, like (0,5)<BR>\n" );
document.write( "That is your \"test point\".<BR>\n" );
document.write( "Substitute the x,y values into the INEQUALITY:<BR>\n" );
document.write( "5<-0+1<BR>\n" );
document.write( "5<1<BR>\n" );
document.write( "That is false.<BR>\n" );
document.write( "So the half-plane containing that test point is NOT<BR>\n" );
document.write( "the graph of the INEQUALITY.  The other half plane<BR>\n" );
document.write( "IS the solution.<BR>\n" );
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document.write( "If you had selected the test point (3,-10)<BR>\n" );
document.write( "you would have substituted and gotten:<BR>\n" );
document.write( "-10<-3+1<BR>\n" );
document.write( "-10<-2<BR>\n" );
document.write( "That is true<BR>\n" );
document.write( "So the half-plane containing that test point IS<BR>\n" );
document.write( "the graph of the INEQUALITY.<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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